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Finding the Third Proportional to 464,608.38 and 654,280.88

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Solution

The third proportional to 464,608.38 and 654,280.88 is: 921,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,608.38 : 654,280.88 = 654,280.88 : x
  2. Step 2: Convert to fraction form
    464,608.38/654,280.88 = 654,280.88/x
  3. Step 3: Cross multiply
    464,608.38x = 654,280.88 × 654,280.88
  4. Step 4: Simplify right side
    464,608.38x = 428,083,463,390.77
  5. Step 5: Solve for x
    x = 428,083,463,390.77/464,608.38
  6. Step 6: Final answer
    x = 921,385.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.