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Finding the Third Proportional to 503,897,317 and 720,574,023

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Solution

The third proportional to 503,897,317 and 720,574,023 is: 1,030,422,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,897,317 : 720,574,023 = 720,574,023 : x
  2. Step 2: Convert to fraction form
    503,897,317/720,574,023 = 720,574,023/x
  3. Step 3: Cross multiply
    503,897,317x = 720,574,023 × 720,574,023
  4. Step 4: Simplify right side
    503,897,317x = 519,226,922,622,404,544
  5. Step 5: Solve for x
    x = 519,226,922,622,404,544/503,897,317
  6. Step 6: Final answer
    x = 1,030,422,082.25

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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.