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Finding the Third Proportional to 341,792.16 and 736,173.56

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Solution

The third proportional to 341,792.16 and 736,173.56 is: 1,585,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,792.16 : 736,173.56 = 736,173.56 : x
  2. Step 2: Convert to fraction form
    341,792.16/736,173.56 = 736,173.56/x
  3. Step 3: Cross multiply
    341,792.16x = 736,173.56 × 736,173.56
  4. Step 4: Simplify right side
    341,792.16x = 541,951,514,123.94
  5. Step 5: Solve for x
    x = 541,951,514,123.94/341,792.16
  6. Step 6: Final answer
    x = 1,585,617.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.