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Finding the Third Proportional to 417,524 and 930,670

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Solution

The third proportional to 417,524 and 930,670 is: 2,074,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,524 : 930,670 = 930,670 : x
  2. Step 2: Convert to fraction form
    417,524/930,670 = 930,670/x
  3. Step 3: Cross multiply
    417,524x = 930,670 × 930,670
  4. Step 4: Simplify right side
    417,524x = 866,146,648,900
  5. Step 5: Solve for x
    x = 866,146,648,900/417,524
  6. Step 6: Final answer
    x = 2,074,483.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.