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Finding the Third Proportional to 218,095.88 and 476,695.13

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Solution

The third proportional to 218,095.88 and 476,695.13 is: 1,041,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,095.88 : 476,695.13 = 476,695.13 : x
  2. Step 2: Convert to fraction form
    218,095.88/476,695.13 = 476,695.13/x
  3. Step 3: Cross multiply
    218,095.88x = 476,695.13 × 476,695.13
  4. Step 4: Simplify right side
    218,095.88x = 227,238,242,198.77
  5. Step 5: Solve for x
    x = 227,238,242,198.77/218,095.88
  6. Step 6: Final answer
    x = 1,041,919.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.