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Finding the Third Proportional to 376,541 and 526,665

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Solution

The third proportional to 376,541 and 526,665 is: 736,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,541 : 526,665 = 526,665 : x
  2. Step 2: Convert to fraction form
    376,541/526,665 = 526,665/x
  3. Step 3: Cross multiply
    376,541x = 526,665 × 526,665
  4. Step 4: Simplify right side
    376,541x = 277,376,022,225
  5. Step 5: Solve for x
    x = 277,376,022,225/376,541
  6. Step 6: Final answer
    x = 736,642.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.