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Finding the Third Proportional to 295,219 and 469,979

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Solution

The third proportional to 295,219 and 469,979 is: 748,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,219 : 469,979 = 469,979 : x
  2. Step 2: Convert to fraction form
    295,219/469,979 = 469,979/x
  3. Step 3: Cross multiply
    295,219x = 469,979 × 469,979
  4. Step 4: Simplify right side
    295,219x = 220,880,260,441
  5. Step 5: Solve for x
    x = 220,880,260,441/295,219
  6. Step 6: Final answer
    x = 748,191.21

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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.