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Finding the Third Proportional to 713,465 and 978,337

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Solution

The third proportional to 713,465 and 978,337 is: 1,341,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,465 : 978,337 = 978,337 : x
  2. Step 2: Convert to fraction form
    713,465/978,337 = 978,337/x
  3. Step 3: Cross multiply
    713,465x = 978,337 × 978,337
  4. Step 4: Simplify right side
    713,465x = 957,143,285,569
  5. Step 5: Solve for x
    x = 957,143,285,569/713,465
  6. Step 6: Final answer
    x = 1,341,542.03

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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.