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Finding the Third Proportional to 262,982 and 372,117

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Solution

The third proportional to 262,982 and 372,117 is: 526,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,982 : 372,117 = 372,117 : x
  2. Step 2: Convert to fraction form
    262,982/372,117 = 372,117/x
  3. Step 3: Cross multiply
    262,982x = 372,117 × 372,117
  4. Step 4: Simplify right side
    262,982x = 138,471,061,689
  5. Step 5: Solve for x
    x = 138,471,061,689/262,982
  6. Step 6: Final answer
    x = 526,541.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.