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Finding the Third Proportional to 497,191.50 and 744,967.13

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Solution

The third proportional to 497,191.50 and 744,967.13 is: 1,116,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,191.50 : 744,967.13 = 744,967.13 : x
  2. Step 2: Convert to fraction form
    497,191.50/744,967.13 = 744,967.13/x
  3. Step 3: Cross multiply
    497,191.50x = 744,967.13 × 744,967.13
  4. Step 4: Simplify right side
    497,191.50x = 554,976,017,330.77
  5. Step 5: Solve for x
    x = 554,976,017,330.77/497,191.50
  6. Step 6: Final answer
    x = 1,116,221.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.