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Finding the Third Proportional to 262,440 and 542,376

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Solution

The third proportional to 262,440 and 542,376 is: 1,120,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,440 : 542,376 = 542,376 : x
  2. Step 2: Convert to fraction form
    262,440/542,376 = 542,376/x
  3. Step 3: Cross multiply
    262,440x = 542,376 × 542,376
  4. Step 4: Simplify right side
    262,440x = 294,171,725,376
  5. Step 5: Solve for x
    x = 294,171,725,376/262,440
  6. Step 6: Final answer
    x = 1,120,910.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.