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Finding the Third Proportional to 376,521 and 573,605

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Solution

The third proportional to 376,521 and 573,605 is: 873,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,521 : 573,605 = 573,605 : x
  2. Step 2: Convert to fraction form
    376,521/573,605 = 573,605/x
  3. Step 3: Cross multiply
    376,521x = 573,605 × 573,605
  4. Step 4: Simplify right side
    376,521x = 329,022,696,025
  5. Step 5: Solve for x
    x = 329,022,696,025/376,521
  6. Step 6: Final answer
    x = 873,849.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.