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Finding the Third Proportional to 252,109.13 and 544,330.13

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Solution

The third proportional to 252,109.13 and 544,330.13 is: 1,175,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,109.13 : 544,330.13 = 544,330.13 : x
  2. Step 2: Convert to fraction form
    252,109.13/544,330.13 = 544,330.13/x
  3. Step 3: Cross multiply
    252,109.13x = 544,330.13 × 544,330.13
  4. Step 4: Simplify right side
    252,109.13x = 296,295,284,982.52
  5. Step 5: Solve for x
    x = 296,295,284,982.52/252,109.13
  6. Step 6: Final answer
    x = 1,175,266.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.