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Finding the Third Proportional to 310,776 and 665,868

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Solution

The third proportional to 310,776 and 665,868 is: 1,426,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,776 : 665,868 = 665,868 : x
  2. Step 2: Convert to fraction form
    310,776/665,868 = 665,868/x
  3. Step 3: Cross multiply
    310,776x = 665,868 × 665,868
  4. Step 4: Simplify right side
    310,776x = 443,380,193,424
  5. Step 5: Solve for x
    x = 443,380,193,424/310,776
  6. Step 6: Final answer
    x = 1,426,687.37

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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.