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Finding the Third Proportional to 295,210 and 469,966

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Solution

The third proportional to 295,210 and 469,966 is: 748,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,210 : 469,966 = 469,966 : x
  2. Step 2: Convert to fraction form
    295,210/469,966 = 469,966/x
  3. Step 3: Cross multiply
    295,210x = 469,966 × 469,966
  4. Step 4: Simplify right side
    295,210x = 220,868,041,156
  5. Step 5: Solve for x
    x = 220,868,041,156/295,210
  6. Step 6: Final answer
    x = 748,172.63

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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.