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Finding the Third Proportional to 459.94 and 710.53

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Solution

The third proportional to 459.94 and 710.53 is: 1,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.94 : 710.53 = 710.53 : x
  2. Step 2: Convert to fraction form
    459.94/710.53 = 710.53/x
  3. Step 3: Cross multiply
    459.94x = 710.53 × 710.53
  4. Step 4: Simplify right side
    459.94x = 504,854.66
  5. Step 5: Solve for x
    x = 504,854.66/459.94
  6. Step 6: Final answer
    x = 1,097.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.