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Finding the Third Proportional to 341,781.40 and 736,153.31

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Solution

The third proportional to 341,781.40 and 736,153.31 is: 1,585,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,781.40 : 736,153.31 = 736,153.31 : x
  2. Step 2: Convert to fraction form
    341,781.40/736,153.31 = 736,153.31/x
  3. Step 3: Cross multiply
    341,781.40x = 736,153.31 × 736,153.31
  4. Step 4: Simplify right side
    341,781.40x = 541,921,699,504.72
  5. Step 5: Solve for x
    x = 541,921,699,504.72/341,781.40
  6. Step 6: Final answer
    x = 1,585,579.85

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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.