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Finding the Third Proportional to 502,814,306 and 775,743,732

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Solution

The third proportional to 502,814,306 and 775,743,732 is: 1,196,820,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,814,306 : 775,743,732 = 775,743,732 : x
  2. Step 2: Convert to fraction form
    502,814,306/775,743,732 = 775,743,732/x
  3. Step 3: Cross multiply
    502,814,306x = 775,743,732 × 775,743,732
  4. Step 4: Simplify right side
    502,814,306x = 601,778,337,737,287,808
  5. Step 5: Solve for x
    x = 601,778,337,737,287,808/502,814,306
  6. Step 6: Final answer
    x = 1,196,820,238.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.