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Finding the Third Proportional to 548,227.50 and 822,342

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Solution

The third proportional to 548,227.50 and 822,342 is: 1,233,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,227.50 : 822,342 = 822,342 : x
  2. Step 2: Convert to fraction form
    548,227.50/822,342 = 822,342/x
  3. Step 3: Cross multiply
    548,227.50x = 822,342 × 822,342
  4. Step 4: Simplify right side
    548,227.50x = 676,246,364,964
  5. Step 5: Solve for x
    x = 676,246,364,964/548,227.50
  6. Step 6: Final answer
    x = 1,233,514.13

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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.