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Finding the Third Proportional to 490,710 and 738,523

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Solution

The third proportional to 490,710 and 738,523 is: 1,111,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,710 : 738,523 = 738,523 : x
  2. Step 2: Convert to fraction form
    490,710/738,523 = 738,523/x
  3. Step 3: Cross multiply
    490,710x = 738,523 × 738,523
  4. Step 4: Simplify right side
    490,710x = 545,416,221,529
  5. Step 5: Solve for x
    x = 545,416,221,529/490,710
  6. Step 6: Final answer
    x = 1,111,483.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.