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Finding the Third Proportional to 261,059 and 572,554

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Solution

The third proportional to 261,059 and 572,554 is: 1,255,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,059 : 572,554 = 572,554 : x
  2. Step 2: Convert to fraction form
    261,059/572,554 = 572,554/x
  3. Step 3: Cross multiply
    261,059x = 572,554 × 572,554
  4. Step 4: Simplify right side
    261,059x = 327,818,082,916
  5. Step 5: Solve for x
    x = 327,818,082,916/261,059
  6. Step 6: Final answer
    x = 1,255,724.12

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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.