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Finding the Third Proportional to 322,987.50 and 462,348

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Solution

The third proportional to 322,987.50 and 462,348 is: 661,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,987.50 : 462,348 = 462,348 : x
  2. Step 2: Convert to fraction form
    322,987.50/462,348 = 462,348/x
  3. Step 3: Cross multiply
    322,987.50x = 462,348 × 462,348
  4. Step 4: Simplify right side
    322,987.50x = 213,765,673,104
  5. Step 5: Solve for x
    x = 213,765,673,104/322,987.50
  6. Step 6: Final answer
    x = 661,838.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.