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Finding the Third Proportional to 532,640.25 and 749,196

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Solution

The third proportional to 532,640.25 and 749,196 is: 1,053,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,640.25 : 749,196 = 749,196 : x
  2. Step 2: Convert to fraction form
    532,640.25/749,196 = 749,196/x
  3. Step 3: Cross multiply
    532,640.25x = 749,196 × 749,196
  4. Step 4: Simplify right side
    532,640.25x = 561,294,646,416
  5. Step 5: Solve for x
    x = 561,294,646,416/532,640.25
  6. Step 6: Final answer
    x = 1,053,796.90

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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.