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Finding the Third Proportional to 269,001 and 402,985.13

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Solution

The third proportional to 269,001 and 402,985.13 is: 603,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,001 : 402,985.13 = 402,985.13 : x
  2. Step 2: Convert to fraction form
    269,001/402,985.13 = 402,985.13/x
  3. Step 3: Cross multiply
    269,001x = 402,985.13 × 402,985.13
  4. Step 4: Simplify right side
    269,001x = 162,397,010,971.27
  5. Step 5: Solve for x
    x = 162,397,010,971.27/269,001
  6. Step 6: Final answer
    x = 603,704.12

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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.