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Finding the Third Proportional to 493,002 and 760,389

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Solution

The third proportional to 493,002 and 760,389 is: 1,172,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,002 : 760,389 = 760,389 : x
  2. Step 2: Convert to fraction form
    493,002/760,389 = 760,389/x
  3. Step 3: Cross multiply
    493,002x = 760,389 × 760,389
  4. Step 4: Simplify right side
    493,002x = 578,191,431,321
  5. Step 5: Solve for x
    x = 578,191,431,321/493,002
  6. Step 6: Final answer
    x = 1,172,797.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.