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Finding the Third Proportional to 334,854 and 722,820

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Solution

The third proportional to 334,854 and 722,820 is: 1,560,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,854 : 722,820 = 722,820 : x
  2. Step 2: Convert to fraction form
    334,854/722,820 = 722,820/x
  3. Step 3: Cross multiply
    334,854x = 722,820 × 722,820
  4. Step 4: Simplify right side
    334,854x = 522,468,752,400
  5. Step 5: Solve for x
    x = 522,468,752,400/334,854
  6. Step 6: Final answer
    x = 1,560,288.22

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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.