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Finding the Third Proportional to 295,211 and 469,967

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Solution

The third proportional to 295,211 and 469,967 is: 748,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,211 : 469,967 = 469,967 : x
  2. Step 2: Convert to fraction form
    295,211/469,967 = 469,967/x
  3. Step 3: Cross multiply
    295,211x = 469,967 × 469,967
  4. Step 4: Simplify right side
    295,211x = 220,868,981,089
  5. Step 5: Solve for x
    x = 220,868,981,089/295,211
  6. Step 6: Final answer
    x = 748,173.28

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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.