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Finding the Third Proportional to 473.48 and 539.93

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Solution

The third proportional to 473.48 and 539.93 is: 615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.48 : 539.93 = 539.93 : x
  2. Step 2: Convert to fraction form
    473.48/539.93 = 539.93/x
  3. Step 3: Cross multiply
    473.48x = 539.93 × 539.93
  4. Step 4: Simplify right side
    473.48x = 291,524.07
  5. Step 5: Solve for x
    x = 291,524.07/473.48
  6. Step 6: Final answer
    x = 615.70

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.