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Finding the Third Proportional to 295,226 and 469,990

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Solution

The third proportional to 295,226 and 469,990 is: 748,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,226 : 469,990 = 469,990 : x
  2. Step 2: Convert to fraction form
    295,226/469,990 = 469,990/x
  3. Step 3: Cross multiply
    295,226x = 469,990 × 469,990
  4. Step 4: Simplify right side
    295,226x = 220,890,600,100
  5. Step 5: Solve for x
    x = 220,890,600,100/295,226
  6. Step 6: Final answer
    x = 748,208.49

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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.