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Finding the Third Proportional to 366,221.25 and 802,264.50

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Solution

The third proportional to 366,221.25 and 802,264.50 is: 1,757,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,221.25 : 802,264.50 = 802,264.50 : x
  2. Step 2: Convert to fraction form
    366,221.25/802,264.50 = 802,264.50/x
  3. Step 3: Cross multiply
    366,221.25x = 802,264.50 × 802,264.50
  4. Step 4: Simplify right side
    366,221.25x = 643,628,327,960.25
  5. Step 5: Solve for x
    x = 643,628,327,960.25/366,221.25
  6. Step 6: Final answer
    x = 1,757,484.93

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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.