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Finding the Third Proportional to 415,600.03 and 897,508.69

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Solution

The third proportional to 415,600.03 and 897,508.69 is: 1,938,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,600.03 : 897,508.69 = 897,508.69 : x
  2. Step 2: Convert to fraction form
    415,600.03/897,508.69 = 897,508.69/x
  3. Step 3: Cross multiply
    415,600.03x = 897,508.69 × 897,508.69
  4. Step 4: Simplify right side
    415,600.03x = 805,521,844,137.97
  5. Step 5: Solve for x
    x = 805,521,844,137.97/415,600.03
  6. Step 6: Final answer
    x = 1,938,214.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.