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Finding the Third Proportional to 261,996.19 and 533,627.16

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Solution

The third proportional to 261,996.19 and 533,627.16 is: 1,086,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,996.19 : 533,627.16 = 533,627.16 : x
  2. Step 2: Convert to fraction form
    261,996.19/533,627.16 = 533,627.16/x
  3. Step 3: Cross multiply
    261,996.19x = 533,627.16 × 533,627.16
  4. Step 4: Simplify right side
    261,996.19x = 284,757,941,887.46
  5. Step 5: Solve for x
    x = 284,757,941,887.46/261,996.19
  6. Step 6: Final answer
    x = 1,086,878.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.