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Finding the Third Proportional to 342,037.69 and 473,895.56

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Solution

The third proportional to 342,037.69 and 473,895.56 is: 656,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,037.69 : 473,895.56 = 473,895.56 : x
  2. Step 2: Convert to fraction form
    342,037.69/473,895.56 = 473,895.56/x
  3. Step 3: Cross multiply
    342,037.69x = 473,895.56 × 473,895.56
  4. Step 4: Simplify right side
    342,037.69x = 224,577,004,157.19
  5. Step 5: Solve for x
    x = 224,577,004,157.19/342,037.69
  6. Step 6: Final answer
    x = 656,585.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.