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Finding the Third Proportional to 262,440 and 572,265

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Solution

The third proportional to 262,440 and 572,265 is: 1,247,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,440 : 572,265 = 572,265 : x
  2. Step 2: Convert to fraction form
    262,440/572,265 = 572,265/x
  3. Step 3: Cross multiply
    262,440x = 572,265 × 572,265
  4. Step 4: Simplify right side
    262,440x = 327,487,230,225
  5. Step 5: Solve for x
    x = 327,487,230,225/262,440
  6. Step 6: Final answer
    x = 1,247,855.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.