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Finding the Third Proportional to 390,200 and 851,308

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Solution

The third proportional to 390,200 and 851,308 is: 1,857,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,200 : 851,308 = 851,308 : x
  2. Step 2: Convert to fraction form
    390,200/851,308 = 851,308/x
  3. Step 3: Cross multiply
    390,200x = 851,308 × 851,308
  4. Step 4: Simplify right side
    390,200x = 724,725,310,864
  5. Step 5: Solve for x
    x = 724,725,310,864/390,200
  6. Step 6: Final answer
    x = 1,857,317.56

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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.