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Finding the Third Proportional to 334,872 and 736,074

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Solution

The third proportional to 334,872 and 736,074 is: 1,617,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,872 : 736,074 = 736,074 : x
  2. Step 2: Convert to fraction form
    334,872/736,074 = 736,074/x
  3. Step 3: Cross multiply
    334,872x = 736,074 × 736,074
  4. Step 4: Simplify right side
    334,872x = 541,804,933,476
  5. Step 5: Solve for x
    x = 541,804,933,476/334,872
  6. Step 6: Final answer
    x = 1,617,946.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.