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Finding the Third Proportional to 252,820.13 and 546,130.13

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Solution

The third proportional to 252,820.13 and 546,130.13 is: 1,179,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,820.13 : 546,130.13 = 546,130.13 : x
  2. Step 2: Convert to fraction form
    252,820.13/546,130.13 = 546,130.13/x
  3. Step 3: Cross multiply
    252,820.13x = 546,130.13 × 546,130.13
  4. Step 4: Simplify right side
    252,820.13x = 298,258,113,432.52
  5. Step 5: Solve for x
    x = 298,258,113,432.52/252,820.13
  6. Step 6: Final answer
    x = 1,179,724.57

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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.