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Finding the Third Proportional to 413,932.50 and 893,186

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Solution

The third proportional to 413,932.50 and 893,186 is: 1,927,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,932.50 : 893,186 = 893,186 : x
  2. Step 2: Convert to fraction form
    413,932.50/893,186 = 893,186/x
  3. Step 3: Cross multiply
    413,932.50x = 893,186 × 893,186
  4. Step 4: Simplify right side
    413,932.50x = 797,781,230,596
  5. Step 5: Solve for x
    x = 797,781,230,596/413,932.50
  6. Step 6: Final answer
    x = 1,927,322.04

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