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Finding the Third Proportional to 364.03 and 549.47

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Solution

The third proportional to 364.03 and 549.47 is: 829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.03 : 549.47 = 549.47 : x
  2. Step 2: Convert to fraction form
    364.03/549.47 = 549.47/x
  3. Step 3: Cross multiply
    364.03x = 549.47 × 549.47
  4. Step 4: Simplify right side
    364.03x = 301,915.91
  5. Step 5: Solve for x
    x = 301,915.91/364.03
  6. Step 6: Final answer
    x = 829.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.