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Finding the Third Proportional to 376,527 and 573,614

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Solution

The third proportional to 376,527 and 573,614 is: 873,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,527 : 573,614 = 573,614 : x
  2. Step 2: Convert to fraction form
    376,527/573,614 = 573,614/x
  3. Step 3: Cross multiply
    376,527x = 573,614 × 573,614
  4. Step 4: Simplify right side
    376,527x = 329,033,020,996
  5. Step 5: Solve for x
    x = 329,033,020,996/376,527
  6. Step 6: Final answer
    x = 873,863.02

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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.