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Finding the Third Proportional to 477,496.50 and 1,033,725

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Solution

The third proportional to 477,496.50 and 1,033,725 is: 2,237,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,496.50 : 1,033,725 = 1,033,725 : x
  2. Step 2: Convert to fraction form
    477,496.50/1,033,725 = 1,033,725/x
  3. Step 3: Cross multiply
    477,496.50x = 1,033,725 × 1,033,725
  4. Step 4: Simplify right side
    477,496.50x = 1,068,587,375,625
  5. Step 5: Solve for x
    x = 1,068,587,375,625/477,496.50
  6. Step 6: Final answer
    x = 2,237,895.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.