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Finding the Third Proportional to 464,498 and 654,120

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Solution

The third proportional to 464,498 and 654,120 is: 921,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,498 : 654,120 = 654,120 : x
  2. Step 2: Convert to fraction form
    464,498/654,120 = 654,120/x
  3. Step 3: Cross multiply
    464,498x = 654,120 × 654,120
  4. Step 4: Simplify right side
    464,498x = 427,872,974,400
  5. Step 5: Solve for x
    x = 427,872,974,400/464,498
  6. Step 6: Final answer
    x = 921,151.38

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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.