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Finding the Third Proportional to 713,460 and 978,330

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Solution

The third proportional to 713,460 and 978,330 is: 1,341,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,460 : 978,330 = 978,330 : x
  2. Step 2: Convert to fraction form
    713,460/978,330 = 978,330/x
  3. Step 3: Cross multiply
    713,460x = 978,330 × 978,330
  4. Step 4: Simplify right side
    713,460x = 957,129,588,900
  5. Step 5: Solve for x
    x = 957,129,588,900/713,460
  6. Step 6: Final answer
    x = 1,341,532.24

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