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Finding the Third Proportional to 404,056.13 and 883,837.13

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Solution

The third proportional to 404,056.13 and 883,837.13 is: 1,933,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,056.13 : 883,837.13 = 883,837.13 : x
  2. Step 2: Convert to fraction form
    404,056.13/883,837.13 = 883,837.13/x
  3. Step 3: Cross multiply
    404,056.13x = 883,837.13 × 883,837.13
  4. Step 4: Simplify right side
    404,056.13x = 781,168,063,528.27
  5. Step 5: Solve for x
    x = 781,168,063,528.27/404,056.13
  6. Step 6: Final answer
    x = 1,933,315.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.