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Finding the Third Proportional to 252,687 and 549,918

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Solution

The third proportional to 252,687 and 549,918 is: 1,196,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,687 : 549,918 = 549,918 : x
  2. Step 2: Convert to fraction form
    252,687/549,918 = 549,918/x
  3. Step 3: Cross multiply
    252,687x = 549,918 × 549,918
  4. Step 4: Simplify right side
    252,687x = 302,409,806,724
  5. Step 5: Solve for x
    x = 302,409,806,724/252,687
  6. Step 6: Final answer
    x = 1,196,776.28

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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.