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Finding the Third Proportional to 481,552 and 715,395

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Solution

The third proportional to 481,552 and 715,395 is: 1,062,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,552 : 715,395 = 715,395 : x
  2. Step 2: Convert to fraction form
    481,552/715,395 = 715,395/x
  3. Step 3: Cross multiply
    481,552x = 715,395 × 715,395
  4. Step 4: Simplify right side
    481,552x = 511,790,006,025
  5. Step 5: Solve for x
    x = 511,790,006,025/481,552
  6. Step 6: Final answer
    x = 1,062,792.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.