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Finding the Third Proportional to 416,994.50 and 915,184

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Solution

The third proportional to 416,994.50 and 915,184 is: 2,008,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994.50 : 915,184 = 915,184 : x
  2. Step 2: Convert to fraction form
    416,994.50/915,184 = 915,184/x
  3. Step 3: Cross multiply
    416,994.50x = 915,184 × 915,184
  4. Step 4: Simplify right side
    416,994.50x = 837,561,753,856
  5. Step 5: Solve for x
    x = 837,561,753,856/416,994.50
  6. Step 6: Final answer
    x = 2,008,567.87

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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.