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Finding the Third Proportional to 261,842 and 563,776

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Solution

The third proportional to 261,842 and 563,776 is: 1,213,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,842 : 563,776 = 563,776 : x
  2. Step 2: Convert to fraction form
    261,842/563,776 = 563,776/x
  3. Step 3: Cross multiply
    261,842x = 563,776 × 563,776
  4. Step 4: Simplify right side
    261,842x = 317,843,378,176
  5. Step 5: Solve for x
    x = 317,843,378,176/261,842
  6. Step 6: Final answer
    x = 1,213,874.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.