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Finding the Third Proportional to 617,041 and 932,136.50

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Solution

The third proportional to 617,041 and 932,136.50 is: 1,408,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,041 : 932,136.50 = 932,136.50 : x
  2. Step 2: Convert to fraction form
    617,041/932,136.50 = 932,136.50/x
  3. Step 3: Cross multiply
    617,041x = 932,136.50 × 932,136.50
  4. Step 4: Simplify right side
    617,041x = 868,878,454,632.25
  5. Step 5: Solve for x
    x = 868,878,454,632.25/617,041
  6. Step 6: Final answer
    x = 1,408,137.31

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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.