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Finding the Third Proportional to 252,829.13 and 546,148.13

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Solution

The third proportional to 252,829.13 and 546,148.13 is: 1,179,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,829.13 : 546,148.13 = 546,148.13 : x
  2. Step 2: Convert to fraction form
    252,829.13/546,148.13 = 546,148.13/x
  3. Step 3: Cross multiply
    252,829.13x = 546,148.13 × 546,148.13
  4. Step 4: Simplify right side
    252,829.13x = 298,277,774,441.02
  5. Step 5: Solve for x
    x = 298,277,774,441.02/252,829.13
  6. Step 6: Final answer
    x = 1,179,760.34

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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.