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Finding the Third Proportional to 748,444.50 and 1,172,734.88

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Solution

The third proportional to 748,444.50 and 1,172,734.88 is: 1,837,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,444.50 : 1,172,734.88 = 1,172,734.88 : x
  2. Step 2: Convert to fraction form
    748,444.50/1,172,734.88 = 1,172,734.88/x
  3. Step 3: Cross multiply
    748,444.50x = 1,172,734.88 × 1,172,734.88
  4. Step 4: Simplify right side
    748,444.50x = 1,375,307,087,041.27
  5. Step 5: Solve for x
    x = 1,375,307,087,041.27/748,444.50
  6. Step 6: Final answer
    x = 1,837,553.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.