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Finding the Third Proportional to 261,024.19 and 552,934.69

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Solution

The third proportional to 261,024.19 and 552,934.69 is: 1,171,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,024.19 : 552,934.69 = 552,934.69 : x
  2. Step 2: Convert to fraction form
    261,024.19/552,934.69 = 552,934.69/x
  3. Step 3: Cross multiply
    261,024.19x = 552,934.69 × 552,934.69
  4. Step 4: Simplify right side
    261,024.19x = 305,736,768,640.72
  5. Step 5: Solve for x
    x = 305,736,768,640.72/261,024.19
  6. Step 6: Final answer
    x = 1,171,296.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.