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Finding the Third Proportional to 252,737 and 549,761

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Solution

The third proportional to 252,737 and 549,761 is: 1,195,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,737 : 549,761 = 549,761 : x
  2. Step 2: Convert to fraction form
    252,737/549,761 = 549,761/x
  3. Step 3: Cross multiply
    252,737x = 549,761 × 549,761
  4. Step 4: Simplify right side
    252,737x = 302,237,157,121
  5. Step 5: Solve for x
    x = 302,237,157,121/252,737
  6. Step 6: Final answer
    x = 1,195,856.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.