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Finding the Third Proportional to 417,037.50 and 910,529

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Solution

The third proportional to 417,037.50 and 910,529 is: 1,987,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,037.50 : 910,529 = 910,529 : x
  2. Step 2: Convert to fraction form
    417,037.50/910,529 = 910,529/x
  3. Step 3: Cross multiply
    417,037.50x = 910,529 × 910,529
  4. Step 4: Simplify right side
    417,037.50x = 829,063,059,841
  5. Step 5: Solve for x
    x = 829,063,059,841/417,037.50
  6. Step 6: Final answer
    x = 1,987,982.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.