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Finding the Third Proportional to 713,541 and 978,457

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Solution

The third proportional to 713,541 and 978,457 is: 1,341,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,541 : 978,457 = 978,457 : x
  2. Step 2: Convert to fraction form
    713,541/978,457 = 978,457/x
  3. Step 3: Cross multiply
    713,541x = 978,457 × 978,457
  4. Step 4: Simplify right side
    713,541x = 957,378,100,849
  5. Step 5: Solve for x
    x = 957,378,100,849/713,541
  6. Step 6: Final answer
    x = 1,341,728.23

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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.