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Finding the Third Proportional to 331,345.50 and 715,566

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Solution

The third proportional to 331,345.50 and 715,566 is: 1,545,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,345.50 : 715,566 = 715,566 : x
  2. Step 2: Convert to fraction form
    331,345.50/715,566 = 715,566/x
  3. Step 3: Cross multiply
    331,345.50x = 715,566 × 715,566
  4. Step 4: Simplify right side
    331,345.50x = 512,034,700,356
  5. Step 5: Solve for x
    x = 512,034,700,356/331,345.50
  6. Step 6: Final answer
    x = 1,545,319.61

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Why These Related Problems?

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