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Finding the Third Proportional to 265,590 and 572,652

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Solution

The third proportional to 265,590 and 572,652 is: 1,234,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,590 : 572,652 = 572,652 : x
  2. Step 2: Convert to fraction form
    265,590/572,652 = 572,652/x
  3. Step 3: Cross multiply
    265,590x = 572,652 × 572,652
  4. Step 4: Simplify right side
    265,590x = 327,930,313,104
  5. Step 5: Solve for x
    x = 327,930,313,104/265,590
  6. Step 6: Final answer
    x = 1,234,723.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.