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Finding the Third Proportional to 390,250.50 and 851,223

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Solution

The third proportional to 390,250.50 and 851,223 is: 1,856,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,250.50 : 851,223 = 851,223 : x
  2. Step 2: Convert to fraction form
    390,250.50/851,223 = 851,223/x
  3. Step 3: Cross multiply
    390,250.50x = 851,223 × 851,223
  4. Step 4: Simplify right side
    390,250.50x = 724,580,595,729
  5. Step 5: Solve for x
    x = 724,580,595,729/390,250.50
  6. Step 6: Final answer
    x = 1,856,706.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.