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Finding the Third Proportional to 295,208 and 469,963

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Solution

The third proportional to 295,208 and 469,963 is: 748,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,208 : 469,963 = 469,963 : x
  2. Step 2: Convert to fraction form
    295,208/469,963 = 469,963/x
  3. Step 3: Cross multiply
    295,208x = 469,963 × 469,963
  4. Step 4: Simplify right side
    295,208x = 220,865,221,369
  5. Step 5: Solve for x
    x = 220,865,221,369/295,208
  6. Step 6: Final answer
    x = 748,168.14

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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.