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Finding the Third Proportional to 252,717.47 and 549,719.16

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Solution

The third proportional to 252,717.47 and 549,719.16 is: 1,195,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,717.47 : 549,719.16 = 549,719.16 : x
  2. Step 2: Convert to fraction form
    252,717.47/549,719.16 = 549,719.16/x
  3. Step 3: Cross multiply
    252,717.47x = 549,719.16 × 549,719.16
  4. Step 4: Simplify right side
    252,717.47x = 302,191,150,748.21
  5. Step 5: Solve for x
    x = 302,191,150,748.21/252,717.47
  6. Step 6: Final answer
    x = 1,195,766.77

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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.