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Finding the Third Proportional to 258,032.25 and 547,411.50

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Solution

The third proportional to 258,032.25 and 547,411.50 is: 1,161,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,032.25 : 547,411.50 = 547,411.50 : x
  2. Step 2: Convert to fraction form
    258,032.25/547,411.50 = 547,411.50/x
  3. Step 3: Cross multiply
    258,032.25x = 547,411.50 × 547,411.50
  4. Step 4: Simplify right side
    258,032.25x = 299,659,350,332.25
  5. Step 5: Solve for x
    x = 299,659,350,332.25/258,032.25
  6. Step 6: Final answer
    x = 1,161,325.18

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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.