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Finding the Third Proportional to 342,854 and 513,948

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Solution

The third proportional to 342,854 and 513,948 is: 770,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,854 : 513,948 = 513,948 : x
  2. Step 2: Convert to fraction form
    342,854/513,948 = 513,948/x
  3. Step 3: Cross multiply
    342,854x = 513,948 × 513,948
  4. Step 4: Simplify right side
    342,854x = 264,142,546,704
  5. Step 5: Solve for x
    x = 264,142,546,704/342,854
  6. Step 6: Final answer
    x = 770,422.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.