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Finding the Third Proportional to 239,842 and 370,579

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Solution

The third proportional to 239,842 and 370,579 is: 572,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,842 : 370,579 = 370,579 : x
  2. Step 2: Convert to fraction form
    239,842/370,579 = 370,579/x
  3. Step 3: Cross multiply
    239,842x = 370,579 × 370,579
  4. Step 4: Simplify right side
    239,842x = 137,328,795,241
  5. Step 5: Solve for x
    x = 137,328,795,241/239,842
  6. Step 6: Final answer
    x = 572,580.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.