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Finding the Third Proportional to 340,887 and 743,982

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Solution

The third proportional to 340,887 and 743,982 is: 1,623,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,887 : 743,982 = 743,982 : x
  2. Step 2: Convert to fraction form
    340,887/743,982 = 743,982/x
  3. Step 3: Cross multiply
    340,887x = 743,982 × 743,982
  4. Step 4: Simplify right side
    340,887x = 553,509,216,324
  5. Step 5: Solve for x
    x = 553,509,216,324/340,887
  6. Step 6: Final answer
    x = 1,623,732.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.