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Finding the Third Proportional to 395,778.66 and 933,359.20

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Solution

The third proportional to 395,778.66 and 933,359.20 is: 2,201,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,778.66 : 933,359.20 = 933,359.20 : x
  2. Step 2: Convert to fraction form
    395,778.66/933,359.20 = 933,359.20/x
  3. Step 3: Cross multiply
    395,778.66x = 933,359.20 × 933,359.20
  4. Step 4: Simplify right side
    395,778.66x = 871,159,402,058.14
  5. Step 5: Solve for x
    x = 871,159,402,058.14/395,778.66
  6. Step 6: Final answer
    x = 2,201,127.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.