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Finding the Third Proportional to 252,708.61 and 549,703.97

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Solution

The third proportional to 252,708.61 and 549,703.97 is: 1,195,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,708.61 : 549,703.97 = 549,703.97 : x
  2. Step 2: Convert to fraction form
    252,708.61/549,703.97 = 549,703.97/x
  3. Step 3: Cross multiply
    252,708.61x = 549,703.97 × 549,703.97
  4. Step 4: Simplify right side
    252,708.61x = 302,174,453,259.50
  5. Step 5: Solve for x
    x = 302,174,453,259.50/252,708.61
  6. Step 6: Final answer
    x = 1,195,742.61

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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.