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Finding the Third Proportional to 218,700 and 478,548

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Solution

The third proportional to 218,700 and 478,548 is: 1,047,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,700 : 478,548 = 478,548 : x
  2. Step 2: Convert to fraction form
    218,700/478,548 = 478,548/x
  3. Step 3: Cross multiply
    218,700x = 478,548 × 478,548
  4. Step 4: Simplify right side
    218,700x = 229,008,188,304
  5. Step 5: Solve for x
    x = 229,008,188,304/218,700
  6. Step 6: Final answer
    x = 1,047,133.92

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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.