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Finding the Third Proportional to 332.95 and 504.05

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Solution

The third proportional to 332.95 and 504.05 is: 763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.95 : 504.05 = 504.05 : x
  2. Step 2: Convert to fraction form
    332.95/504.05 = 504.05/x
  3. Step 3: Cross multiply
    332.95x = 504.05 × 504.05
  4. Step 4: Simplify right side
    332.95x = 254,063.25
  5. Step 5: Solve for x
    x = 254,063.25/332.95
  6. Step 6: Final answer
    x = 763.06

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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.