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Finding the Third Proportional to 243,677 and 376,579

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Solution

The third proportional to 243,677 and 376,579 is: 581,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,677 : 376,579 = 376,579 : x
  2. Step 2: Convert to fraction form
    243,677/376,579 = 376,579/x
  3. Step 3: Cross multiply
    243,677x = 376,579 × 376,579
  4. Step 4: Simplify right side
    243,677x = 141,811,743,241
  5. Step 5: Solve for x
    x = 141,811,743,241/243,677
  6. Step 6: Final answer
    x = 581,966.06

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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.