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Finding the Third Proportional to 295,209 and 469,964.25

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Solution

The third proportional to 295,209 and 469,964.25 is: 748,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,209 : 469,964.25 = 469,964.25 : x
  2. Step 2: Convert to fraction form
    295,209/469,964.25 = 469,964.25/x
  3. Step 3: Cross multiply
    295,209x = 469,964.25 × 469,964.25
  4. Step 4: Simplify right side
    295,209x = 220,866,396,278.06
  5. Step 5: Solve for x
    x = 220,866,396,278.06/295,209
  6. Step 6: Final answer
    x = 748,169.59

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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.