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Finding the Third Proportional to 382,742 and 563,040

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Solution

The third proportional to 382,742 and 563,040 is: 828,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,742 : 563,040 = 563,040 : x
  2. Step 2: Convert to fraction form
    382,742/563,040 = 563,040/x
  3. Step 3: Cross multiply
    382,742x = 563,040 × 563,040
  4. Step 4: Simplify right side
    382,742x = 317,014,041,600
  5. Step 5: Solve for x
    x = 317,014,041,600/382,742
  6. Step 6: Final answer
    x = 828,270.85

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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.