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Finding the Third Proportional to 349,097.63 and 533,799.84

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Solution

The third proportional to 349,097.63 and 533,799.84 is: 816,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,097.63 : 533,799.84 = 533,799.84 : x
  2. Step 2: Convert to fraction form
    349,097.63/533,799.84 = 533,799.84/x
  3. Step 3: Cross multiply
    349,097.63x = 533,799.84 × 533,799.84
  4. Step 4: Simplify right side
    349,097.63x = 284,942,273,187.52
  5. Step 5: Solve for x
    x = 284,942,273,187.52/349,097.63
  6. Step 6: Final answer
    x = 816,225.18

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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.