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Finding the Third Proportional to 213,894 and 464,737

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Solution

The third proportional to 213,894 and 464,737 is: 1,009,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894 : 464,737 = 464,737 : x
  2. Step 2: Convert to fraction form
    213,894/464,737 = 464,737/x
  3. Step 3: Cross multiply
    213,894x = 464,737 × 464,737
  4. Step 4: Simplify right side
    213,894x = 215,980,479,169
  5. Step 5: Solve for x
    x = 215,980,479,169/213,894
  6. Step 6: Final answer
    x = 1,009,754.73

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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.