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Finding the Third Proportional to 480,900 and 692,694

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Solution

The third proportional to 480,900 and 692,694 is: 997,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,900 : 692,694 = 692,694 : x
  2. Step 2: Convert to fraction form
    480,900/692,694 = 692,694/x
  3. Step 3: Cross multiply
    480,900x = 692,694 × 692,694
  4. Step 4: Simplify right side
    480,900x = 479,824,977,636
  5. Step 5: Solve for x
    x = 479,824,977,636/480,900
  6. Step 6: Final answer
    x = 997,764.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.