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Finding the Third Proportional to 258,432 and 547,550.25

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Solution

The third proportional to 258,432 and 547,550.25 is: 1,160,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,432 : 547,550.25 = 547,550.25 : x
  2. Step 2: Convert to fraction form
    258,432/547,550.25 = 547,550.25/x
  3. Step 3: Cross multiply
    258,432x = 547,550.25 × 547,550.25
  4. Step 4: Simplify right side
    258,432x = 299,811,276,275.06
  5. Step 5: Solve for x
    x = 299,811,276,275.06/258,432
  6. Step 6: Final answer
    x = 1,160,116.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.