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Finding the Third Proportional to 337,342 and 526,750

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Solution

The third proportional to 337,342 and 526,750 is: 822,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,342 : 526,750 = 526,750 : x
  2. Step 2: Convert to fraction form
    337,342/526,750 = 526,750/x
  3. Step 3: Cross multiply
    337,342x = 526,750 × 526,750
  4. Step 4: Simplify right side
    337,342x = 277,465,562,500
  5. Step 5: Solve for x
    x = 277,465,562,500/337,342
  6. Step 6: Final answer
    x = 822,505.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.