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Finding the Third Proportional to 210,426 and 451,002

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Solution

The third proportional to 210,426 and 451,002 is: 966,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,426 : 451,002 = 451,002 : x
  2. Step 2: Convert to fraction form
    210,426/451,002 = 451,002/x
  3. Step 3: Cross multiply
    210,426x = 451,002 × 451,002
  4. Step 4: Simplify right side
    210,426x = 203,402,804,004
  5. Step 5: Solve for x
    x = 203,402,804,004/210,426
  6. Step 6: Final answer
    x = 966,623.92

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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.