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Finding the Third Proportional to 372,102 and 810,564

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Solution

The third proportional to 372,102 and 810,564 is: 1,765,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,102 : 810,564 = 810,564 : x
  2. Step 2: Convert to fraction form
    372,102/810,564 = 810,564/x
  3. Step 3: Cross multiply
    372,102x = 810,564 × 810,564
  4. Step 4: Simplify right side
    372,102x = 657,013,998,096
  5. Step 5: Solve for x
    x = 657,013,998,096/372,102
  6. Step 6: Final answer
    x = 1,765,682.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.