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Finding the Third Proportional to 262,083 and 392,713

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Solution

The third proportional to 262,083 and 392,713 is: 588,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,083 : 392,713 = 392,713 : x
  2. Step 2: Convert to fraction form
    262,083/392,713 = 392,713/x
  3. Step 3: Cross multiply
    262,083x = 392,713 × 392,713
  4. Step 4: Simplify right side
    262,083x = 154,223,500,369
  5. Step 5: Solve for x
    x = 154,223,500,369/262,083
  6. Step 6: Final answer
    x = 588,452.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.