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Finding the Third Proportional to 401,834.50 and 859,595.75

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Solution

The third proportional to 401,834.50 and 859,595.75 is: 1,838,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,834.50 : 859,595.75 = 859,595.75 : x
  2. Step 2: Convert to fraction form
    401,834.50/859,595.75 = 859,595.75/x
  3. Step 3: Cross multiply
    401,834.50x = 859,595.75 × 859,595.75
  4. Step 4: Simplify right side
    401,834.50x = 738,904,853,418.06
  5. Step 5: Solve for x
    x = 738,904,853,418.06/401,834.50
  6. Step 6: Final answer
    x = 1,838,828.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.