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Finding the Third Proportional to 436,806 and 658,287

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Solution

The third proportional to 436,806 and 658,287 is: 992,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,806 : 658,287 = 658,287 : x
  2. Step 2: Convert to fraction form
    436,806/658,287 = 658,287/x
  3. Step 3: Cross multiply
    436,806x = 658,287 × 658,287
  4. Step 4: Simplify right side
    436,806x = 433,341,774,369
  5. Step 5: Solve for x
    x = 433,341,774,369/436,806
  6. Step 6: Final answer
    x = 992,069.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.