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Finding the Third Proportional to 261,322 and 572,436

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Solution

The third proportional to 261,322 and 572,436 is: 1,253,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,322 : 572,436 = 572,436 : x
  2. Step 2: Convert to fraction form
    261,322/572,436 = 572,436/x
  3. Step 3: Cross multiply
    261,322x = 572,436 × 572,436
  4. Step 4: Simplify right side
    261,322x = 327,682,974,096
  5. Step 5: Solve for x
    x = 327,682,974,096/261,322
  6. Step 6: Final answer
    x = 1,253,943.31

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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.