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Finding the Third Proportional to 497.06 and 542.06

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Solution

The third proportional to 497.06 and 542.06 is: 591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 542.06 = 542.06 : x
  2. Step 2: Convert to fraction form
    497.06/542.06 = 542.06/x
  3. Step 3: Cross multiply
    497.06x = 542.06 × 542.06
  4. Step 4: Simplify right side
    497.06x = 293,831.75
  5. Step 5: Solve for x
    x = 293,831.75/497.06
  6. Step 6: Final answer
    x = 591.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.