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Finding the Third Proportional to 210,854 and 464,908

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Solution

The third proportional to 210,854 and 464,908 is: 1,025,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,854 : 464,908 = 464,908 : x
  2. Step 2: Convert to fraction form
    210,854/464,908 = 464,908/x
  3. Step 3: Cross multiply
    210,854x = 464,908 × 464,908
  4. Step 4: Simplify right side
    210,854x = 216,139,448,464
  5. Step 5: Solve for x
    x = 216,139,448,464/210,854
  6. Step 6: Final answer
    x = 1,025,066.86

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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.