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Finding the Third Proportional to 218,950.50 and 473,886

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Solution

The third proportional to 218,950.50 and 473,886 is: 1,025,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,950.50 : 473,886 = 473,886 : x
  2. Step 2: Convert to fraction form
    218,950.50/473,886 = 473,886/x
  3. Step 3: Cross multiply
    218,950.50x = 473,886 × 473,886
  4. Step 4: Simplify right side
    218,950.50x = 224,567,940,996
  5. Step 5: Solve for x
    x = 224,567,940,996/218,950.50
  6. Step 6: Final answer
    x = 1,025,656.21

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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.