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Finding the Third Proportional to 341,036 and 533,424

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Solution

The third proportional to 341,036 and 533,424 is: 834,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,036 : 533,424 = 533,424 : x
  2. Step 2: Convert to fraction form
    341,036/533,424 = 533,424/x
  3. Step 3: Cross multiply
    341,036x = 533,424 × 533,424
  4. Step 4: Simplify right side
    341,036x = 284,541,163,776
  5. Step 5: Solve for x
    x = 284,541,163,776/341,036
  6. Step 6: Final answer
    x = 834,343.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.