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Finding the Third Proportional to 395,877.38 and 805,788

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Solution

The third proportional to 395,877.38 and 805,788 is: 1,640,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,877.38 : 805,788 = 805,788 : x
  2. Step 2: Convert to fraction form
    395,877.38/805,788 = 805,788/x
  3. Step 3: Cross multiply
    395,877.38x = 805,788 × 805,788
  4. Step 4: Simplify right side
    395,877.38x = 649,294,300,944
  5. Step 5: Solve for x
    x = 649,294,300,944/395,877.38
  6. Step 6: Final answer
    x = 1,640,139.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.