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Finding the Third Proportional to 497.81 and 710.65

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Solution

The third proportional to 497.81 and 710.65 is: 1,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 710.65 = 710.65 : x
  2. Step 2: Convert to fraction form
    497.81/710.65 = 710.65/x
  3. Step 3: Cross multiply
    497.81x = 710.65 × 710.65
  4. Step 4: Simplify right side
    497.81x = 505,021.20
  5. Step 5: Solve for x
    x = 505,021.20/497.81
  6. Step 6: Final answer
    x = 1,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.