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Finding the Third Proportional to 334,914 and 722,304

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Solution

The third proportional to 334,914 and 722,304 is: 1,557,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,914 : 722,304 = 722,304 : x
  2. Step 2: Convert to fraction form
    334,914/722,304 = 722,304/x
  3. Step 3: Cross multiply
    334,914x = 722,304 × 722,304
  4. Step 4: Simplify right side
    334,914x = 521,723,068,416
  5. Step 5: Solve for x
    x = 521,723,068,416/334,914
  6. Step 6: Final answer
    x = 1,557,782.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.