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Finding the Third Proportional to 340,436.25 and 477,110.25

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Solution

The third proportional to 340,436.25 and 477,110.25 is: 668,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,436.25 : 477,110.25 = 477,110.25 : x
  2. Step 2: Convert to fraction form
    340,436.25/477,110.25 = 477,110.25/x
  3. Step 3: Cross multiply
    340,436.25x = 477,110.25 × 477,110.25
  4. Step 4: Simplify right side
    340,436.25x = 227,634,190,655.06
  5. Step 5: Solve for x
    x = 227,634,190,655.06/340,436.25
  6. Step 6: Final answer
    x = 668,654.38

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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.