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Finding the Third Proportional to 468,769 and 663,739

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Solution

The third proportional to 468,769 and 663,739 is: 939,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,769 : 663,739 = 663,739 : x
  2. Step 2: Convert to fraction form
    468,769/663,739 = 663,739/x
  3. Step 3: Cross multiply
    468,769x = 663,739 × 663,739
  4. Step 4: Simplify right side
    468,769x = 440,549,460,121
  5. Step 5: Solve for x
    x = 440,549,460,121/468,769
  6. Step 6: Final answer
    x = 939,800.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.