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Finding the Third Proportional to 213,484 and 464,552

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Solution

The third proportional to 213,484 and 464,552 is: 1,010,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,484 : 464,552 = 464,552 : x
  2. Step 2: Convert to fraction form
    213,484/464,552 = 464,552/x
  3. Step 3: Cross multiply
    213,484x = 464,552 × 464,552
  4. Step 4: Simplify right side
    213,484x = 215,808,560,704
  5. Step 5: Solve for x
    x = 215,808,560,704/213,484
  6. Step 6: Final answer
    x = 1,010,888.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.