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Finding the Third Proportional to 713,632 and 978,549

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Solution

The third proportional to 713,632 and 978,549 is: 1,341,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,632 : 978,549 = 978,549 : x
  2. Step 2: Convert to fraction form
    713,632/978,549 = 978,549/x
  3. Step 3: Cross multiply
    713,632x = 978,549 × 978,549
  4. Step 4: Simplify right side
    713,632x = 957,558,145,401
  5. Step 5: Solve for x
    x = 957,558,145,401/713,632
  6. Step 6: Final answer
    x = 1,341,809.43

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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.