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Finding the Third Proportional to 266,592 and 569,904

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Solution

The third proportional to 266,592 and 569,904 is: 1,218,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,592 : 569,904 = 569,904 : x
  2. Step 2: Convert to fraction form
    266,592/569,904 = 569,904/x
  3. Step 3: Cross multiply
    266,592x = 569,904 × 569,904
  4. Step 4: Simplify right side
    266,592x = 324,790,569,216
  5. Step 5: Solve for x
    x = 324,790,569,216/266,592
  6. Step 6: Final answer
    x = 1,218,305.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.