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Finding the Third Proportional to 713,576 and 978,519

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Solution

The third proportional to 713,576 and 978,519 is: 1,341,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,576 : 978,519 = 978,519 : x
  2. Step 2: Convert to fraction form
    713,576/978,519 = 978,519/x
  3. Step 3: Cross multiply
    713,576x = 978,519 × 978,519
  4. Step 4: Simplify right side
    713,576x = 957,499,433,361
  5. Step 5: Solve for x
    x = 957,499,433,361/713,576
  6. Step 6: Final answer
    x = 1,341,832.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.