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Finding the Third Proportional to 419,698.13 and 899,281.13

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Solution

The third proportional to 419,698.13 and 899,281.13 is: 1,926,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,698.13 : 899,281.13 = 899,281.13 : x
  2. Step 2: Convert to fraction form
    419,698.13/899,281.13 = 899,281.13/x
  3. Step 3: Cross multiply
    419,698.13x = 899,281.13 × 899,281.13
  4. Step 4: Simplify right side
    419,698.13x = 808,706,541,781.27
  5. Step 5: Solve for x
    x = 808,706,541,781.27/419,698.13
  6. Step 6: Final answer
    x = 1,926,876.71

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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.