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Finding the Third Proportional to 342,434 and 532,299

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Solution

The third proportional to 342,434 and 532,299 is: 827,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,434 : 532,299 = 532,299 : x
  2. Step 2: Convert to fraction form
    342,434/532,299 = 532,299/x
  3. Step 3: Cross multiply
    342,434x = 532,299 × 532,299
  4. Step 4: Simplify right side
    342,434x = 283,342,225,401
  5. Step 5: Solve for x
    x = 283,342,225,401/342,434
  6. Step 6: Final answer
    x = 827,436.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.