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Finding the Third Proportional to 214,758 and 464,913

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Solution

The third proportional to 214,758 and 464,913 is: 1,006,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758 : 464,913 = 464,913 : x
  2. Step 2: Convert to fraction form
    214,758/464,913 = 464,913/x
  3. Step 3: Cross multiply
    214,758x = 464,913 × 464,913
  4. Step 4: Simplify right side
    214,758x = 216,144,097,569
  5. Step 5: Solve for x
    x = 216,144,097,569/214,758
  6. Step 6: Final answer
    x = 1,006,454.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.