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Finding the Third Proportional to 218,700 and 470,614.50

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Solution

The third proportional to 218,700 and 470,614.50 is: 1,012,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,700 : 470,614.50 = 470,614.50 : x
  2. Step 2: Convert to fraction form
    218,700/470,614.50 = 470,614.50/x
  3. Step 3: Cross multiply
    218,700x = 470,614.50 × 470,614.50
  4. Step 4: Simplify right side
    218,700x = 221,478,007,610.25
  5. Step 5: Solve for x
    x = 221,478,007,610.25/218,700
  6. Step 6: Final answer
    x = 1,012,702.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.