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Finding the Third Proportional to 326,233.13 and 716,295.38

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Solution

The third proportional to 326,233.13 and 716,295.38 is: 1,572,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,233.13 : 716,295.38 = 716,295.38 : x
  2. Step 2: Convert to fraction form
    326,233.13/716,295.38 = 716,295.38/x
  3. Step 3: Cross multiply
    326,233.13x = 716,295.38 × 716,295.38
  4. Step 4: Simplify right side
    326,233.13x = 513,079,064,246.39
  5. Step 5: Solve for x
    x = 513,079,064,246.39/326,233.13
  6. Step 6: Final answer
    x = 1,572,737.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.