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Finding the Third Proportional to 213,488 and 464,560

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Solution

The third proportional to 213,488 and 464,560 is: 1,010,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,488 : 464,560 = 464,560 : x
  2. Step 2: Convert to fraction form
    213,488/464,560 = 464,560/x
  3. Step 3: Cross multiply
    213,488x = 464,560 × 464,560
  4. Step 4: Simplify right side
    213,488x = 215,815,993,600
  5. Step 5: Solve for x
    x = 215,815,993,600/213,488
  6. Step 6: Final answer
    x = 1,010,904.56

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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.