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Finding the Third Proportional to 503,897,294.25 and 720,573,995.25

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Solution

The third proportional to 503,897,294.25 and 720,573,995.25 is: 1,030,422,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,897,294.25 : 720,573,995.25 = 720,573,995.25 : x
  2. Step 2: Convert to fraction form
    503,897,294.25/720,573,995.25 = 720,573,995.25/x
  3. Step 3: Cross multiply
    503,897,294.25x = 720,573,995.25 × 720,573,995.25
  4. Step 4: Simplify right side
    503,897,294.25x = 519,226,882,630,547,008
  5. Step 5: Solve for x
    x = 519,226,882,630,547,008/503,897,294.25
  6. Step 6: Final answer
    x = 1,030,422,049.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.