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Finding the Third Proportional to 252,432 and 540,828

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Solution

The third proportional to 252,432 and 540,828 is: 1,158,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,432 : 540,828 = 540,828 : x
  2. Step 2: Convert to fraction form
    252,432/540,828 = 540,828/x
  3. Step 3: Cross multiply
    252,432x = 540,828 × 540,828
  4. Step 4: Simplify right side
    252,432x = 292,494,925,584
  5. Step 5: Solve for x
    x = 292,494,925,584/252,432
  6. Step 6: Final answer
    x = 1,158,707.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.