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Finding the Third Proportional to 323,637.19 and 681,400.69

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Solution

The third proportional to 323,637.19 and 681,400.69 is: 1,434,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,637.19 : 681,400.69 = 681,400.69 : x
  2. Step 2: Convert to fraction form
    323,637.19/681,400.69 = 681,400.69/x
  3. Step 3: Cross multiply
    323,637.19x = 681,400.69 × 681,400.69
  4. Step 4: Simplify right side
    323,637.19x = 464,306,896,925.47
  5. Step 5: Solve for x
    x = 464,306,896,925.47/323,637.19
  6. Step 6: Final answer
    x = 1,434,652.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.