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Finding the Third Proportional to 334,280 and 734,704

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Solution

The third proportional to 334,280 and 734,704 is: 1,614,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,280 : 734,704 = 734,704 : x
  2. Step 2: Convert to fraction form
    334,280/734,704 = 734,704/x
  3. Step 3: Cross multiply
    334,280x = 734,704 × 734,704
  4. Step 4: Simplify right side
    334,280x = 539,789,967,616
  5. Step 5: Solve for x
    x = 539,789,967,616/334,280
  6. Step 6: Final answer
    x = 1,614,783.92

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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.