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Finding the Third Proportional to 354,577 and 532,114.50

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Solution

The third proportional to 354,577 and 532,114.50 is: 798,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,577 : 532,114.50 = 532,114.50 : x
  2. Step 2: Convert to fraction form
    354,577/532,114.50 = 532,114.50/x
  3. Step 3: Cross multiply
    354,577x = 532,114.50 × 532,114.50
  4. Step 4: Simplify right side
    354,577x = 283,145,841,110.25
  5. Step 5: Solve for x
    x = 283,145,841,110.25/354,577
  6. Step 6: Final answer
    x = 798,545.42

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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.