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Finding the Third Proportional to 608,930.25 and 851,320.50

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Solution

The third proportional to 608,930.25 and 851,320.50 is: 1,190,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,930.25 : 851,320.50 = 851,320.50 : x
  2. Step 2: Convert to fraction form
    608,930.25/851,320.50 = 851,320.50/x
  3. Step 3: Cross multiply
    608,930.25x = 851,320.50 × 851,320.50
  4. Step 4: Simplify right side
    608,930.25x = 724,746,593,720.25
  5. Step 5: Solve for x
    x = 724,746,593,720.25/608,930.25
  6. Step 6: Final answer
    x = 1,190,196.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.