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Finding the Third Proportional to 310,412 and 665,098

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Solution

The third proportional to 310,412 and 665,098 is: 1,425,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,412 : 665,098 = 665,098 : x
  2. Step 2: Convert to fraction form
    310,412/665,098 = 665,098/x
  3. Step 3: Cross multiply
    310,412x = 665,098 × 665,098
  4. Step 4: Simplify right side
    310,412x = 442,355,349,604
  5. Step 5: Solve for x
    x = 442,355,349,604/310,412
  6. Step 6: Final answer
    x = 1,425,058.79

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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.