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Finding the Third Proportional to 243,679 and 376,582

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Solution

The third proportional to 243,679 and 376,582 is: 581,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,679 : 376,582 = 376,582 : x
  2. Step 2: Convert to fraction form
    243,679/376,582 = 376,582/x
  3. Step 3: Cross multiply
    243,679x = 376,582 × 376,582
  4. Step 4: Simplify right side
    243,679x = 141,814,002,724
  5. Step 5: Solve for x
    x = 141,814,002,724/243,679
  6. Step 6: Final answer
    x = 581,970.55

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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.