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Finding the Third Proportional to 349,254 and 533,904

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Solution

The third proportional to 349,254 and 533,904 is: 816,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,254 : 533,904 = 533,904 : x
  2. Step 2: Convert to fraction form
    349,254/533,904 = 533,904/x
  3. Step 3: Cross multiply
    349,254x = 533,904 × 533,904
  4. Step 4: Simplify right side
    349,254x = 285,053,481,216
  5. Step 5: Solve for x
    x = 285,053,481,216/349,254
  6. Step 6: Final answer
    x = 816,178.14

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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.