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Finding the Third Proportional to 216,864 and 469,928

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Solution

The third proportional to 216,864 and 469,928 is: 1,018,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,864 : 469,928 = 469,928 : x
  2. Step 2: Convert to fraction form
    216,864/469,928 = 469,928/x
  3. Step 3: Cross multiply
    216,864x = 469,928 × 469,928
  4. Step 4: Simplify right side
    216,864x = 220,832,325,184
  5. Step 5: Solve for x
    x = 220,832,325,184/216,864
  6. Step 6: Final answer
    x = 1,018,298.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.