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Finding the Third Proportional to 376,492 and 565,582

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Solution

The third proportional to 376,492 and 565,582 is: 849,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,492 : 565,582 = 565,582 : x
  2. Step 2: Convert to fraction form
    376,492/565,582 = 565,582/x
  3. Step 3: Cross multiply
    376,492x = 565,582 × 565,582
  4. Step 4: Simplify right side
    376,492x = 319,882,998,724
  5. Step 5: Solve for x
    x = 319,882,998,724/376,492
  6. Step 6: Final answer
    x = 849,640.89

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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.