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Finding the Third Proportional to 424,137.75 and 557,464.50

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Solution

The third proportional to 424,137.75 and 557,464.50 is: 732,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,137.75 : 557,464.50 = 557,464.50 : x
  2. Step 2: Convert to fraction form
    424,137.75/557,464.50 = 557,464.50/x
  3. Step 3: Cross multiply
    424,137.75x = 557,464.50 × 557,464.50
  4. Step 4: Simplify right side
    424,137.75x = 310,766,668,760.25
  5. Step 5: Solve for x
    x = 310,766,668,760.25/424,137.75
  6. Step 6: Final answer
    x = 732,702.21

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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.