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Finding the Third Proportional to 272,766.38 and 592,746.75

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Solution

The third proportional to 272,766.38 and 592,746.75 is: 1,288,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,766.38 : 592,746.75 = 592,746.75 : x
  2. Step 2: Convert to fraction form
    272,766.38/592,746.75 = 592,746.75/x
  3. Step 3: Cross multiply
    272,766.38x = 592,746.75 × 592,746.75
  4. Step 4: Simplify right side
    272,766.38x = 351,348,709,635.56
  5. Step 5: Solve for x
    x = 351,348,709,635.56/272,766.38
  6. Step 6: Final answer
    x = 1,288,093.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.