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Finding the Third Proportional to 617,032 and 932,122.50

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Solution

The third proportional to 617,032 and 932,122.50 is: 1,408,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,032 : 932,122.50 = 932,122.50 : x
  2. Step 2: Convert to fraction form
    617,032/932,122.50 = 932,122.50/x
  3. Step 3: Cross multiply
    617,032x = 932,122.50 × 932,122.50
  4. Step 4: Simplify right side
    617,032x = 868,852,355,006.25
  5. Step 5: Solve for x
    x = 868,852,355,006.25/617,032
  6. Step 6: Final answer
    x = 1,408,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.