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Finding the Third Proportional to 503,897,598 and 720,574,434

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Solution

The third proportional to 503,897,598 and 720,574,434 is: 1,030,422,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,897,598 : 720,574,434 = 720,574,434 : x
  2. Step 2: Convert to fraction form
    503,897,598/720,574,434 = 720,574,434/x
  3. Step 3: Cross multiply
    503,897,598x = 720,574,434 × 720,574,434
  4. Step 4: Simplify right side
    503,897,598x = 519,227,514,934,420,352
  5. Step 5: Solve for x
    x = 519,227,514,934,420,352/503,897,598
  6. Step 6: Final answer
    x = 1,030,422,683.09

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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.