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Finding the Third Proportional to 509,788,297.69 and 787,202,281.69

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Solution

The third proportional to 509,788,297.69 and 787,202,281.69 is: 1,215,577,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788,297.69 : 787,202,281.69 = 787,202,281.69 : x
  2. Step 2: Convert to fraction form
    509,788,297.69/787,202,281.69 = 787,202,281.69/x
  3. Step 3: Cross multiply
    509,788,297.69x = 787,202,281.69 × 787,202,281.69
  4. Step 4: Simplify right side
    509,788,297.69x = 619,687,432,294,006,144
  5. Step 5: Solve for x
    x = 619,687,432,294,006,144/509,788,297.69
  6. Step 6: Final answer
    x = 1,215,577,986.21

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Why These Related Problems?

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