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Finding the Third Proportional to 496,455 and 767,148

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Solution

The third proportional to 496,455 and 767,148 is: 1,185,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,455 : 767,148 = 767,148 : x
  2. Step 2: Convert to fraction form
    496,455/767,148 = 767,148/x
  3. Step 3: Cross multiply
    496,455x = 767,148 × 767,148
  4. Step 4: Simplify right side
    496,455x = 588,516,053,904
  5. Step 5: Solve for x
    x = 588,516,053,904/496,455
  6. Step 6: Final answer
    x = 1,185,436.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.