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Finding the Third Proportional to 295,206 and 469,960

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Solution

The third proportional to 295,206 and 469,960 is: 748,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206 : 469,960 = 469,960 : x
  2. Step 2: Convert to fraction form
    295,206/469,960 = 469,960/x
  3. Step 3: Cross multiply
    295,206x = 469,960 × 469,960
  4. Step 4: Simplify right side
    295,206x = 220,862,401,600
  5. Step 5: Solve for x
    x = 220,862,401,600/295,206
  6. Step 6: Final answer
    x = 748,163.66

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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.