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Finding the Third Proportional to 261,380 and 572,568

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Solution

The third proportional to 261,380 and 572,568 is: 1,254,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,380 : 572,568 = 572,568 : x
  2. Step 2: Convert to fraction form
    261,380/572,568 = 572,568/x
  3. Step 3: Cross multiply
    261,380x = 572,568 × 572,568
  4. Step 4: Simplify right side
    261,380x = 327,834,114,624
  5. Step 5: Solve for x
    x = 327,834,114,624/261,380
  6. Step 6: Final answer
    x = 1,254,243.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.