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Finding the Third Proportional to 365,376,237.75 and 527,905,684.13

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Solution

The third proportional to 365,376,237.75 and 527,905,684.13 is: 762,732,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,376,237.75 : 527,905,684.13 = 527,905,684.13 : x
  2. Step 2: Convert to fraction form
    365,376,237.75/527,905,684.13 = 527,905,684.13/x
  3. Step 3: Cross multiply
    365,376,237.75x = 527,905,684.13 × 527,905,684.13
  4. Step 4: Simplify right side
    365,376,237.75x = 278,684,411,331,484,288
  5. Step 5: Solve for x
    x = 278,684,411,331,484,288/365,376,237.75
  6. Step 6: Final answer
    x = 762,732,719.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.