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Finding the Third Proportional to 593.74 and 1,315.62

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Solution

The third proportional to 593.74 and 1,315.62 is: 2,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.74 : 1,315.62 = 1,315.62 : x
  2. Step 2: Convert to fraction form
    593.74/1,315.62 = 1,315.62/x
  3. Step 3: Cross multiply
    593.74x = 1,315.62 × 1,315.62
  4. Step 4: Simplify right side
    593.74x = 1,730,848.58
  5. Step 5: Solve for x
    x = 1,730,848.58/593.74
  6. Step 6: Final answer
    x = 2,915.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.