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Finding the Third Proportional to 341,716 and 733,972

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Solution

The third proportional to 341,716 and 733,972 is: 1,576,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,716 : 733,972 = 733,972 : x
  2. Step 2: Convert to fraction form
    341,716/733,972 = 733,972/x
  3. Step 3: Cross multiply
    341,716x = 733,972 × 733,972
  4. Step 4: Simplify right side
    341,716x = 538,714,896,784
  5. Step 5: Solve for x
    x = 538,714,896,784/341,716
  6. Step 6: Final answer
    x = 1,576,498.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.