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Finding the Third Proportional to 593,287.25 and 1,294,384

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Solution

The third proportional to 593,287.25 and 1,294,384 is: 2,823,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,287.25 : 1,294,384 = 1,294,384 : x
  2. Step 2: Convert to fraction form
    593,287.25/1,294,384 = 1,294,384/x
  3. Step 3: Cross multiply
    593,287.25x = 1,294,384 × 1,294,384
  4. Step 4: Simplify right side
    593,287.25x = 1,675,429,939,456
  5. Step 5: Solve for x
    x = 1,675,429,939,456/593,287.25
  6. Step 6: Final answer
    x = 2,823,977.66

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