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Finding the Third Proportional to 299,562 and 462,617

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Solution

The third proportional to 299,562 and 462,617 is: 714,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,562 : 462,617 = 462,617 : x
  2. Step 2: Convert to fraction form
    299,562/462,617 = 462,617/x
  3. Step 3: Cross multiply
    299,562x = 462,617 × 462,617
  4. Step 4: Simplify right side
    299,562x = 214,014,488,689
  5. Step 5: Solve for x
    x = 214,014,488,689/299,562
  6. Step 6: Final answer
    x = 714,424.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.