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Finding the Third Proportional to 202,792.50 and 469,449.50

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Solution

The third proportional to 202,792.50 and 469,449.50 is: 1,086,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,792.50 : 469,449.50 = 469,449.50 : x
  2. Step 2: Convert to fraction form
    202,792.50/469,449.50 = 469,449.50/x
  3. Step 3: Cross multiply
    202,792.50x = 469,449.50 × 469,449.50
  4. Step 4: Simplify right side
    202,792.50x = 220,382,833,050.25
  5. Step 5: Solve for x
    x = 220,382,833,050.25/202,792.50
  6. Step 6: Final answer
    x = 1,086,740.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.