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Finding the Third Proportional to 423 and 491

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Solution

The third proportional to 423 and 491 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 491 = 491 : x
  2. Step 2: Convert to fraction form
    423/491 = 491/x
  3. Step 3: Cross multiply
    423x = 491 × 491
  4. Step 4: Simplify right side
    423x = 241,081
  5. Step 5: Solve for x
    x = 241,081/423
  6. Step 6: Final answer
    x = 569.93

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.