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Finding the Third Proportional to 312,449 and 466,630

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Solution

The third proportional to 312,449 and 466,630 is: 696,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,449 : 466,630 = 466,630 : x
  2. Step 2: Convert to fraction form
    312,449/466,630 = 466,630/x
  3. Step 3: Cross multiply
    312,449x = 466,630 × 466,630
  4. Step 4: Simplify right side
    312,449x = 217,743,556,900
  5. Step 5: Solve for x
    x = 217,743,556,900/312,449
  6. Step 6: Final answer
    x = 696,893.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.