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Finding the Third Proportional to 402,205.50 and 832,250.25

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Solution

The third proportional to 402,205.50 and 832,250.25 is: 1,722,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,205.50 : 832,250.25 = 832,250.25 : x
  2. Step 2: Convert to fraction form
    402,205.50/832,250.25 = 832,250.25/x
  3. Step 3: Cross multiply
    402,205.50x = 832,250.25 × 832,250.25
  4. Step 4: Simplify right side
    402,205.50x = 692,640,478,625.06
  5. Step 5: Solve for x
    x = 692,640,478,625.06/402,205.50
  6. Step 6: Final answer
    x = 1,722,105.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.