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Finding the Third Proportional to 237,658.50 and 528,454.13

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Solution

The third proportional to 237,658.50 and 528,454.13 is: 1,175,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,658.50 : 528,454.13 = 528,454.13 : x
  2. Step 2: Convert to fraction form
    237,658.50/528,454.13 = 528,454.13/x
  3. Step 3: Cross multiply
    237,658.50x = 528,454.13 × 528,454.13
  4. Step 4: Simplify right side
    237,658.50x = 279,263,762,229.52
  5. Step 5: Solve for x
    x = 279,263,762,229.52/237,658.50
  6. Step 6: Final answer
    x = 1,175,063.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.