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Finding the Third Proportional to 269,505 and 571,864.50

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Solution

The third proportional to 269,505 and 571,864.50 is: 1,213,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,505 : 571,864.50 = 571,864.50 : x
  2. Step 2: Convert to fraction form
    269,505/571,864.50 = 571,864.50/x
  3. Step 3: Cross multiply
    269,505x = 571,864.50 × 571,864.50
  4. Step 4: Simplify right side
    269,505x = 327,029,006,360.25
  5. Step 5: Solve for x
    x = 327,029,006,360.25/269,505
  6. Step 6: Final answer
    x = 1,213,443.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.