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Finding the Third Proportional to 621,141 and 932,370

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Solution

The third proportional to 621,141 and 932,370 is: 1,399,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,141 : 932,370 = 932,370 : x
  2. Step 2: Convert to fraction form
    621,141/932,370 = 932,370/x
  3. Step 3: Cross multiply
    621,141x = 932,370 × 932,370
  4. Step 4: Simplify right side
    621,141x = 869,313,816,900
  5. Step 5: Solve for x
    x = 869,313,816,900/621,141
  6. Step 6: Final answer
    x = 1,399,543.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.