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Finding the Third Proportional to 349,112.25 and 533,822.63

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Solution

The third proportional to 349,112.25 and 533,822.63 is: 816,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,112.25 : 533,822.63 = 533,822.63 : x
  2. Step 2: Convert to fraction form
    349,112.25/533,822.63 = 533,822.63/x
  3. Step 3: Cross multiply
    349,112.25x = 533,822.63 × 533,822.63
  4. Step 4: Simplify right side
    349,112.25x = 284,966,594,961.89
  5. Step 5: Solve for x
    x = 284,966,594,961.89/349,112.25
  6. Step 6: Final answer
    x = 816,260.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.