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Finding the Third Proportional to 368,468 and 763,176

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Solution

The third proportional to 368,468 and 763,176 is: 1,580,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,468 : 763,176 = 763,176 : x
  2. Step 2: Convert to fraction form
    368,468/763,176 = 763,176/x
  3. Step 3: Cross multiply
    368,468x = 763,176 × 763,176
  4. Step 4: Simplify right side
    368,468x = 582,437,606,976
  5. Step 5: Solve for x
    x = 582,437,606,976/368,468
  6. Step 6: Final answer
    x = 1,580,700.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.