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Finding the Third Proportional to 535,801.50 and 727,677

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Solution

The third proportional to 535,801.50 and 727,677 is: 988,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,801.50 : 727,677 = 727,677 : x
  2. Step 2: Convert to fraction form
    535,801.50/727,677 = 727,677/x
  3. Step 3: Cross multiply
    535,801.50x = 727,677 × 727,677
  4. Step 4: Simplify right side
    535,801.50x = 529,513,816,329
  5. Step 5: Solve for x
    x = 529,513,816,329/535,801.50
  6. Step 6: Final answer
    x = 988,264.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.