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Finding the Third Proportional to 266,481 and 562,905

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Solution

The third proportional to 266,481 and 562,905 is: 1,189,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,481 : 562,905 = 562,905 : x
  2. Step 2: Convert to fraction form
    266,481/562,905 = 562,905/x
  3. Step 3: Cross multiply
    266,481x = 562,905 × 562,905
  4. Step 4: Simplify right side
    266,481x = 316,862,039,025
  5. Step 5: Solve for x
    x = 316,862,039,025/266,481
  6. Step 6: Final answer
    x = 1,189,060.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.