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Finding the Third Proportional to 382,744 and 563,043

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Solution

The third proportional to 382,744 and 563,043 is: 828,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,744 : 563,043 = 563,043 : x
  2. Step 2: Convert to fraction form
    382,744/563,043 = 563,043/x
  3. Step 3: Cross multiply
    382,744x = 563,043 × 563,043
  4. Step 4: Simplify right side
    382,744x = 317,017,419,849
  5. Step 5: Solve for x
    x = 317,017,419,849/382,744
  6. Step 6: Final answer
    x = 828,275.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.