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Finding the Third Proportional to 334,278 and 734,700

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Solution

The third proportional to 334,278 and 734,700 is: 1,614,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,278 : 734,700 = 734,700 : x
  2. Step 2: Convert to fraction form
    334,278/734,700 = 734,700/x
  3. Step 3: Cross multiply
    334,278x = 734,700 × 734,700
  4. Step 4: Simplify right side
    334,278x = 539,784,090,000
  5. Step 5: Solve for x
    x = 539,784,090,000/334,278
  6. Step 6: Final answer
    x = 1,614,775.99

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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.