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Finding the Third Proportional to 301,774 and 655,472

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Solution

The third proportional to 301,774 and 655,472 is: 1,423,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,774 : 655,472 = 655,472 : x
  2. Step 2: Convert to fraction form
    301,774/655,472 = 655,472/x
  3. Step 3: Cross multiply
    301,774x = 655,472 × 655,472
  4. Step 4: Simplify right side
    301,774x = 429,643,542,784
  5. Step 5: Solve for x
    x = 429,643,542,784/301,774
  6. Step 6: Final answer
    x = 1,423,726.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.