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Finding the Third Proportional to 199,639 and 432,499

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Solution

The third proportional to 199,639 and 432,499 is: 936,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,639 : 432,499 = 432,499 : x
  2. Step 2: Convert to fraction form
    199,639/432,499 = 432,499/x
  3. Step 3: Cross multiply
    199,639x = 432,499 × 432,499
  4. Step 4: Simplify right side
    199,639x = 187,055,385,001
  5. Step 5: Solve for x
    x = 187,055,385,001/199,639
  6. Step 6: Final answer
    x = 936,968.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.