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Finding the Third Proportional to 218,932.88 and 473,849.16

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Solution

The third proportional to 218,932.88 and 473,849.16 is: 1,025,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932.88 : 473,849.16 = 473,849.16 : x
  2. Step 2: Convert to fraction form
    218,932.88/473,849.16 = 473,849.16/x
  3. Step 3: Cross multiply
    218,932.88x = 473,849.16 × 473,849.16
  4. Step 4: Simplify right side
    218,932.88x = 224,533,022,878.84
  5. Step 5: Solve for x
    x = 224,533,022,878.84/218,932.88
  6. Step 6: Final answer
    x = 1,025,579.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.