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Finding the Third Proportional to 274,117.92 and 423,627.47

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Solution

The third proportional to 274,117.92 and 423,627.47 is: 654,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,117.92 : 423,627.47 = 423,627.47 : x
  2. Step 2: Convert to fraction form
    274,117.92/423,627.47 = 423,627.47/x
  3. Step 3: Cross multiply
    274,117.92x = 423,627.47 × 423,627.47
  4. Step 4: Simplify right side
    274,117.92x = 179,460,232,279.53
  5. Step 5: Solve for x
    x = 179,460,232,279.53/274,117.92
  6. Step 6: Final answer
    x = 654,682.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.