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Finding the Third Proportional to 252,720 and 549,726

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Solution

The third proportional to 252,720 and 549,726 is: 1,195,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,720 : 549,726 = 549,726 : x
  2. Step 2: Convert to fraction form
    252,720/549,726 = 549,726/x
  3. Step 3: Cross multiply
    252,720x = 549,726 × 549,726
  4. Step 4: Simplify right side
    252,720x = 302,198,675,076
  5. Step 5: Solve for x
    x = 302,198,675,076/252,720
  6. Step 6: Final answer
    x = 1,195,784.56

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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.