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Finding the Third Proportional to 305,827.50 and 662,053.50

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Solution

The third proportional to 305,827.50 and 662,053.50 is: 1,433,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,827.50 : 662,053.50 = 662,053.50 : x
  2. Step 2: Convert to fraction form
    305,827.50/662,053.50 = 662,053.50/x
  3. Step 3: Cross multiply
    305,827.50x = 662,053.50 × 662,053.50
  4. Step 4: Simplify right side
    305,827.50x = 438,314,836,862.25
  5. Step 5: Solve for x
    x = 438,314,836,862.25/305,827.50
  6. Step 6: Final answer
    x = 1,433,209.36

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Why These Related Problems?

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