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Finding the Third Proportional to 210,624 and 467,904

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Solution

The third proportional to 210,624 and 467,904 is: 1,039,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,624 : 467,904 = 467,904 : x
  2. Step 2: Convert to fraction form
    210,624/467,904 = 467,904/x
  3. Step 3: Cross multiply
    210,624x = 467,904 × 467,904
  4. Step 4: Simplify right side
    210,624x = 218,934,153,216
  5. Step 5: Solve for x
    x = 218,934,153,216/210,624
  6. Step 6: Final answer
    x = 1,039,454.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.