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Finding the Third Proportional to 229,588 and 307,914

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Solution

The third proportional to 229,588 and 307,914 is: 412,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,588 : 307,914 = 307,914 : x
  2. Step 2: Convert to fraction form
    229,588/307,914 = 307,914/x
  3. Step 3: Cross multiply
    229,588x = 307,914 × 307,914
  4. Step 4: Simplify right side
    229,588x = 94,811,031,396
  5. Step 5: Solve for x
    x = 94,811,031,396/229,588
  6. Step 6: Final answer
    x = 412,961.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.