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Finding the Third Proportional to 218,554.50 and 468,213

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Solution

The third proportional to 218,554.50 and 468,213 is: 1,003,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,554.50 : 468,213 = 468,213 : x
  2. Step 2: Convert to fraction form
    218,554.50/468,213 = 468,213/x
  3. Step 3: Cross multiply
    218,554.50x = 468,213 × 468,213
  4. Step 4: Simplify right side
    218,554.50x = 219,223,413,369
  5. Step 5: Solve for x
    x = 219,223,413,369/218,554.50
  6. Step 6: Final answer
    x = 1,003,060.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.