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Finding the Third Proportional to 361,894.50 and 532,305

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Solution

The third proportional to 361,894.50 and 532,305 is: 782,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,894.50 : 532,305 = 532,305 : x
  2. Step 2: Convert to fraction form
    361,894.50/532,305 = 532,305/x
  3. Step 3: Cross multiply
    361,894.50x = 532,305 × 532,305
  4. Step 4: Simplify right side
    361,894.50x = 283,348,613,025
  5. Step 5: Solve for x
    x = 283,348,613,025/361,894.50
  6. Step 6: Final answer
    x = 782,959.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.