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Finding the Third Proportional to 713,682 and 978,624

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Solution

The third proportional to 713,682 and 978,624 is: 1,341,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,682 : 978,624 = 978,624 : x
  2. Step 2: Convert to fraction form
    713,682/978,624 = 978,624/x
  3. Step 3: Cross multiply
    713,682x = 978,624 × 978,624
  4. Step 4: Simplify right side
    713,682x = 957,704,933,376
  5. Step 5: Solve for x
    x = 957,704,933,376/713,682
  6. Step 6: Final answer
    x = 1,341,921.10

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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.