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Finding the Third Proportional to 424,095.75 and 557,411.63

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Solution

The third proportional to 424,095.75 and 557,411.63 is: 732,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,095.75 : 557,411.63 = 557,411.63 : x
  2. Step 2: Convert to fraction form
    424,095.75/557,411.63 = 557,411.63/x
  3. Step 3: Cross multiply
    424,095.75x = 557,411.63 × 557,411.63
  4. Step 4: Simplify right side
    424,095.75x = 310,707,719,685.14
  5. Step 5: Solve for x
    x = 310,707,719,685.14/424,095.75
  6. Step 6: Final answer
    x = 732,635.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.