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Finding the Third Proportional to 415,168.03 and 899,191.13

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Solution

The third proportional to 415,168.03 and 899,191.13 is: 1,947,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,168.03 : 899,191.13 = 899,191.13 : x
  2. Step 2: Convert to fraction form
    415,168.03/899,191.13 = 899,191.13/x
  3. Step 3: Cross multiply
    415,168.03x = 899,191.13 × 899,191.13
  4. Step 4: Simplify right side
    415,168.03x = 808,544,679,278.77
  5. Step 5: Solve for x
    x = 808,544,679,278.77/415,168.03
  6. Step 6: Final answer
    x = 1,947,511.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.