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Finding the Third Proportional to 602,543.81 and 826,230.38

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Solution

The third proportional to 602,543.81 and 826,230.38 is: 1,132,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,543.81 : 826,230.38 = 826,230.38 : x
  2. Step 2: Convert to fraction form
    602,543.81/826,230.38 = 826,230.38/x
  3. Step 3: Cross multiply
    602,543.81x = 826,230.38 × 826,230.38
  4. Step 4: Simplify right side
    602,543.81x = 682,656,632,572.64
  5. Step 5: Solve for x
    x = 682,656,632,572.64/602,543.81
  6. Step 6: Final answer
    x = 1,132,957.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.