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Finding the Third Proportional to 213,624 and 455,859

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Solution

The third proportional to 213,624 and 455,859 is: 972,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624 : 455,859 = 455,859 : x
  2. Step 2: Convert to fraction form
    213,624/455,859 = 455,859/x
  3. Step 3: Cross multiply
    213,624x = 455,859 × 455,859
  4. Step 4: Simplify right side
    213,624x = 207,807,427,881
  5. Step 5: Solve for x
    x = 207,807,427,881/213,624
  6. Step 6: Final answer
    x = 972,771.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.