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Finding the Third Proportional to 493,603.50 and 746,481

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Solution

The third proportional to 493,603.50 and 746,481 is: 1,128,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,603.50 : 746,481 = 746,481 : x
  2. Step 2: Convert to fraction form
    493,603.50/746,481 = 746,481/x
  3. Step 3: Cross multiply
    493,603.50x = 746,481 × 746,481
  4. Step 4: Simplify right side
    493,603.50x = 557,233,883,361
  5. Step 5: Solve for x
    x = 557,233,883,361/493,603.50
  6. Step 6: Final answer
    x = 1,128,909.91

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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.