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Finding the Third Proportional to 543,284 and 826,630

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Solution

The third proportional to 543,284 and 826,630 is: 1,257,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,284 : 826,630 = 826,630 : x
  2. Step 2: Convert to fraction form
    543,284/826,630 = 826,630/x
  3. Step 3: Cross multiply
    543,284x = 826,630 × 826,630
  4. Step 4: Simplify right side
    543,284x = 683,317,156,900
  5. Step 5: Solve for x
    x = 683,317,156,900/543,284
  6. Step 6: Final answer
    x = 1,257,753.14

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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.