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Finding the Third Proportional to 349,112 and 533,818

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Solution

The third proportional to 349,112 and 533,818 is: 816,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,112 : 533,818 = 533,818 : x
  2. Step 2: Convert to fraction form
    349,112/533,818 = 533,818/x
  3. Step 3: Cross multiply
    349,112x = 533,818 × 533,818
  4. Step 4: Simplify right side
    349,112x = 284,961,657,124
  5. Step 5: Solve for x
    x = 284,961,657,124/349,112
  6. Step 6: Final answer
    x = 816,247.10

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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.