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Finding the Third Proportional to 334,799 and 722,523

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Solution

The third proportional to 334,799 and 722,523 is: 1,559,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,799 : 722,523 = 722,523 : x
  2. Step 2: Convert to fraction form
    334,799/722,523 = 722,523/x
  3. Step 3: Cross multiply
    334,799x = 722,523 × 722,523
  4. Step 4: Simplify right side
    334,799x = 522,039,485,529
  5. Step 5: Solve for x
    x = 522,039,485,529/334,799
  6. Step 6: Final answer
    x = 1,559,262.38

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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.