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Finding the Third Proportional to 493,603 and 746,479

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Solution

The third proportional to 493,603 and 746,479 is: 1,128,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,603 : 746,479 = 746,479 : x
  2. Step 2: Convert to fraction form
    493,603/746,479 = 746,479/x
  3. Step 3: Cross multiply
    493,603x = 746,479 × 746,479
  4. Step 4: Simplify right side
    493,603x = 557,230,897,441
  5. Step 5: Solve for x
    x = 557,230,897,441/493,603
  6. Step 6: Final answer
    x = 1,128,905.01

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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.