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Finding the Third Proportional to 470.93 and 591.07

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Solution

The third proportional to 470.93 and 591.07 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 591.07 = 591.07 : x
  2. Step 2: Convert to fraction form
    470.93/591.07 = 591.07/x
  3. Step 3: Cross multiply
    470.93x = 591.07 × 591.07
  4. Step 4: Simplify right side
    470.93x = 349,359.79
  5. Step 5: Solve for x
    x = 349,359.79/470.93
  6. Step 6: Final answer
    x = 741.85

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.