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Finding the Third Proportional to 331,314 and 715,522

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Solution

The third proportional to 331,314 and 715,522 is: 1,545,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314 : 715,522 = 715,522 : x
  2. Step 2: Convert to fraction form
    331,314/715,522 = 715,522/x
  3. Step 3: Cross multiply
    331,314x = 715,522 × 715,522
  4. Step 4: Simplify right side
    331,314x = 511,971,732,484
  5. Step 5: Solve for x
    x = 511,971,732,484/331,314
  6. Step 6: Final answer
    x = 1,545,276.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.