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Finding the Third Proportional to 372,655 and 526,797

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Solution

The third proportional to 372,655 and 526,797 is: 744,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,655 : 526,797 = 526,797 : x
  2. Step 2: Convert to fraction form
    372,655/526,797 = 526,797/x
  3. Step 3: Cross multiply
    372,655x = 526,797 × 526,797
  4. Step 4: Simplify right side
    372,655x = 277,515,079,209
  5. Step 5: Solve for x
    x = 277,515,079,209/372,655
  6. Step 6: Final answer
    x = 744,697.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.