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Finding the Third Proportional to 376,585 and 526,726

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Solution

The third proportional to 376,585 and 526,726 is: 736,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,585 : 526,726 = 526,726 : x
  2. Step 2: Convert to fraction form
    376,585/526,726 = 526,726/x
  3. Step 3: Cross multiply
    376,585x = 526,726 × 526,726
  4. Step 4: Simplify right side
    376,585x = 277,440,279,076
  5. Step 5: Solve for x
    x = 277,440,279,076/376,585
  6. Step 6: Final answer
    x = 736,726.85

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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.