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Finding the Third Proportional to 419,590.13 and 650,890.69

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Solution

The third proportional to 419,590.13 and 650,890.69 is: 1,009,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,590.13 : 650,890.69 = 650,890.69 : x
  2. Step 2: Convert to fraction form
    419,590.13/650,890.69 = 650,890.69/x
  3. Step 3: Cross multiply
    419,590.13x = 650,890.69 × 650,890.69
  4. Step 4: Simplify right side
    419,590.13x = 423,658,687,074.22
  5. Step 5: Solve for x
    x = 423,658,687,074.22/419,590.13
  6. Step 6: Final answer
    x = 1,009,696.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.