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Finding the Third Proportional to 376,581 and 526,720

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Solution

The third proportional to 376,581 and 526,720 is: 736,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,581 : 526,720 = 526,720 : x
  2. Step 2: Convert to fraction form
    376,581/526,720 = 526,720/x
  3. Step 3: Cross multiply
    376,581x = 526,720 × 526,720
  4. Step 4: Simplify right side
    376,581x = 277,433,958,400
  5. Step 5: Solve for x
    x = 277,433,958,400/376,581
  6. Step 6: Final answer
    x = 736,717.89

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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.