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Finding the Third Proportional to 713,482 and 978,365

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Solution

The third proportional to 713,482 and 978,365 is: 1,341,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,482 : 978,365 = 978,365 : x
  2. Step 2: Convert to fraction form
    713,482/978,365 = 978,365/x
  3. Step 3: Cross multiply
    713,482x = 978,365 × 978,365
  4. Step 4: Simplify right side
    713,482x = 957,198,073,225
  5. Step 5: Solve for x
    x = 957,198,073,225/713,482
  6. Step 6: Final answer
    x = 1,341,586.86

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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.