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Finding the Third Proportional to 269,535 and 571,929

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Solution

The third proportional to 269,535 and 571,929 is: 1,213,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,535 : 571,929 = 571,929 : x
  2. Step 2: Convert to fraction form
    269,535/571,929 = 571,929/x
  3. Step 3: Cross multiply
    269,535x = 571,929 × 571,929
  4. Step 4: Simplify right side
    269,535x = 327,102,781,041
  5. Step 5: Solve for x
    x = 327,102,781,041/269,535
  6. Step 6: Final answer
    x = 1,213,581.84

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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.