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Finding the Third Proportional to 213,174 and 455,886

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Solution

The third proportional to 213,174 and 455,886 is: 974,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,174 : 455,886 = 455,886 : x
  2. Step 2: Convert to fraction form
    213,174/455,886 = 455,886/x
  3. Step 3: Cross multiply
    213,174x = 455,886 × 455,886
  4. Step 4: Simplify right side
    213,174x = 207,832,044,996
  5. Step 5: Solve for x
    x = 207,832,044,996/213,174
  6. Step 6: Final answer
    x = 974,940.87

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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.