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Finding the Third Proportional to 424,410 and 576,741

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Solution

The third proportional to 424,410 and 576,741 is: 783,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,410 : 576,741 = 576,741 : x
  2. Step 2: Convert to fraction form
    424,410/576,741 = 576,741/x
  3. Step 3: Cross multiply
    424,410x = 576,741 × 576,741
  4. Step 4: Simplify right side
    424,410x = 332,630,181,081
  5. Step 5: Solve for x
    x = 332,630,181,081/424,410
  6. Step 6: Final answer
    x = 783,747.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.