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Finding the Third Proportional to 496,904 and 702,444

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Solution

The third proportional to 496,904 and 702,444 is: 993,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,904 : 702,444 = 702,444 : x
  2. Step 2: Convert to fraction form
    496,904/702,444 = 702,444/x
  3. Step 3: Cross multiply
    496,904x = 702,444 × 702,444
  4. Step 4: Simplify right side
    496,904x = 493,427,573,136
  5. Step 5: Solve for x
    x = 493,427,573,136/496,904
  6. Step 6: Final answer
    x = 993,003.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.