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Finding the Third Proportional to 343,397.81 and 736,617.38

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Solution

The third proportional to 343,397.81 and 736,617.38 is: 1,580,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,397.81 : 736,617.38 = 736,617.38 : x
  2. Step 2: Convert to fraction form
    343,397.81/736,617.38 = 736,617.38/x
  3. Step 3: Cross multiply
    343,397.81x = 736,617.38 × 736,617.38
  4. Step 4: Simplify right side
    343,397.81x = 542,605,157,151.89
  5. Step 5: Solve for x
    x = 542,605,157,151.89/343,397.81
  6. Step 6: Final answer
    x = 1,580,106.62

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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.