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Finding the Third Proportional to 376,605 and 526,758

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Solution

The third proportional to 376,605 and 526,758 is: 736,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,605 : 526,758 = 526,758 : x
  2. Step 2: Convert to fraction form
    376,605/526,758 = 526,758/x
  3. Step 3: Cross multiply
    376,605x = 526,758 × 526,758
  4. Step 4: Simplify right side
    376,605x = 277,473,990,564
  5. Step 5: Solve for x
    x = 277,473,990,564/376,605
  6. Step 6: Final answer
    x = 736,777.23

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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.