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Finding the Third Proportional to 476,523 and 738,144

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Solution

The third proportional to 476,523 and 738,144 is: 1,143,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,523 : 738,144 = 738,144 : x
  2. Step 2: Convert to fraction form
    476,523/738,144 = 738,144/x
  3. Step 3: Cross multiply
    476,523x = 738,144 × 738,144
  4. Step 4: Simplify right side
    476,523x = 544,856,564,736
  5. Step 5: Solve for x
    x = 544,856,564,736/476,523
  6. Step 6: Final answer
    x = 1,143,400.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.