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Finding the Third Proportional to 210,865 and 464,924

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Solution

The third proportional to 210,865 and 464,924 is: 1,025,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865 : 464,924 = 464,924 : x
  2. Step 2: Convert to fraction form
    210,865/464,924 = 464,924/x
  3. Step 3: Cross multiply
    210,865x = 464,924 × 464,924
  4. Step 4: Simplify right side
    210,865x = 216,154,325,776
  5. Step 5: Solve for x
    x = 216,154,325,776/210,865
  6. Step 6: Final answer
    x = 1,025,083.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.