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Finding the Third Proportional to 412,111.25 and 868,502.50

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Solution

The third proportional to 412,111.25 and 868,502.50 is: 1,830,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,111.25 : 868,502.50 = 868,502.50 : x
  2. Step 2: Convert to fraction form
    412,111.25/868,502.50 = 868,502.50/x
  3. Step 3: Cross multiply
    412,111.25x = 868,502.50 × 868,502.50
  4. Step 4: Simplify right side
    412,111.25x = 754,296,592,506.25
  5. Step 5: Solve for x
    x = 754,296,592,506.25/412,111.25
  6. Step 6: Final answer
    x = 1,830,322.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.