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Finding the Third Proportional to 716,538 and 929,913

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Solution

The third proportional to 716,538 and 929,913 is: 1,206,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,538 : 929,913 = 929,913 : x
  2. Step 2: Convert to fraction form
    716,538/929,913 = 929,913/x
  3. Step 3: Cross multiply
    716,538x = 929,913 × 929,913
  4. Step 4: Simplify right side
    716,538x = 864,738,187,569
  5. Step 5: Solve for x
    x = 864,738,187,569/716,538
  6. Step 6: Final answer
    x = 1,206,828.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.