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Finding the Third Proportional to 509,788,459.69 and 787,202,529.75

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Solution

The third proportional to 509,788,459.69 and 787,202,529.75 is: 1,215,578,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788,459.69 : 787,202,529.75 = 787,202,529.75 : x
  2. Step 2: Convert to fraction form
    509,788,459.69/787,202,529.75 = 787,202,529.75/x
  3. Step 3: Cross multiply
    509,788,459.69x = 787,202,529.75 × 787,202,529.75
  4. Step 4: Simplify right side
    509,788,459.69x = 619,687,822,844,799,616
  5. Step 5: Solve for x
    x = 619,687,822,844,799,616/509,788,459.69
  6. Step 6: Final answer
    x = 1,215,578,366.02

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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.