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Finding the Third Proportional to 468,101 and 685,489

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Solution

The third proportional to 468,101 and 685,489 is: 1,003,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,101 : 685,489 = 685,489 : x
  2. Step 2: Convert to fraction form
    468,101/685,489 = 685,489/x
  3. Step 3: Cross multiply
    468,101x = 685,489 × 685,489
  4. Step 4: Simplify right side
    468,101x = 469,895,169,121
  5. Step 5: Solve for x
    x = 469,895,169,121/468,101
  6. Step 6: Final answer
    x = 1,003,832.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.