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Finding the Third Proportional to 295,228.50 and 469,993.50

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Solution

The third proportional to 295,228.50 and 469,993.50 is: 748,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,228.50 : 469,993.50 = 469,993.50 : x
  2. Step 2: Convert to fraction form
    295,228.50/469,993.50 = 469,993.50/x
  3. Step 3: Cross multiply
    295,228.50x = 469,993.50 × 469,993.50
  4. Step 4: Simplify right side
    295,228.50x = 220,893,890,042.25
  5. Step 5: Solve for x
    x = 220,893,890,042.25/295,228.50
  6. Step 6: Final answer
    x = 748,213.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.