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Finding the Third Proportional to 213,002 and 455,925

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Solution

The third proportional to 213,002 and 455,925 is: 975,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,002 : 455,925 = 455,925 : x
  2. Step 2: Convert to fraction form
    213,002/455,925 = 455,925/x
  3. Step 3: Cross multiply
    213,002x = 455,925 × 455,925
  4. Step 4: Simplify right side
    213,002x = 207,867,605,625
  5. Step 5: Solve for x
    x = 207,867,605,625/213,002
  6. Step 6: Final answer
    x = 975,895.09

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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.