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Finding the Third Proportional to 213,682 and 457,010

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Solution

The third proportional to 213,682 and 457,010 is: 977,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,682 : 457,010 = 457,010 : x
  2. Step 2: Convert to fraction form
    213,682/457,010 = 457,010/x
  3. Step 3: Cross multiply
    213,682x = 457,010 × 457,010
  4. Step 4: Simplify right side
    213,682x = 208,858,140,100
  5. Step 5: Solve for x
    x = 208,858,140,100/213,682
  6. Step 6: Final answer
    x = 977,425.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.