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Finding the Third Proportional to 376,506 and 565,599

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Solution

The third proportional to 376,506 and 565,599 is: 849,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,506 : 565,599 = 565,599 : x
  2. Step 2: Convert to fraction form
    376,506/565,599 = 565,599/x
  3. Step 3: Cross multiply
    376,506x = 565,599 × 565,599
  4. Step 4: Simplify right side
    376,506x = 319,902,228,801
  5. Step 5: Solve for x
    x = 319,902,228,801/376,506
  6. Step 6: Final answer
    x = 849,660.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.