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Finding the Third Proportional to 252,711.50 and 549,710

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Solution

The third proportional to 252,711.50 and 549,710 is: 1,195,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,711.50 : 549,710 = 549,710 : x
  2. Step 2: Convert to fraction form
    252,711.50/549,710 = 549,710/x
  3. Step 3: Cross multiply
    252,711.50x = 549,710 × 549,710
  4. Step 4: Simplify right side
    252,711.50x = 302,181,084,100
  5. Step 5: Solve for x
    x = 302,181,084,100/252,711.50
  6. Step 6: Final answer
    x = 1,195,755.18

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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.