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Finding the Third Proportional to 342,613.50 and 522,011.25

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Solution

The third proportional to 342,613.50 and 522,011.25 is: 795,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,613.50 : 522,011.25 = 522,011.25 : x
  2. Step 2: Convert to fraction form
    342,613.50/522,011.25 = 522,011.25/x
  3. Step 3: Cross multiply
    342,613.50x = 522,011.25 × 522,011.25
  4. Step 4: Simplify right side
    342,613.50x = 272,495,745,126.56
  5. Step 5: Solve for x
    x = 272,495,745,126.56/342,613.50
  6. Step 6: Final answer
    x = 795,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.