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Finding the Third Proportional to 261,237 and 572,300

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Solution

The third proportional to 261,237 and 572,300 is: 1,253,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,237 : 572,300 = 572,300 : x
  2. Step 2: Convert to fraction form
    261,237/572,300 = 572,300/x
  3. Step 3: Cross multiply
    261,237x = 572,300 × 572,300
  4. Step 4: Simplify right side
    261,237x = 327,527,290,000
  5. Step 5: Solve for x
    x = 327,527,290,000/261,237
  6. Step 6: Final answer
    x = 1,253,755.36

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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.