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Finding the Third Proportional to 393,275 and 607,298

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Solution

The third proportional to 393,275 and 607,298 is: 937,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,275 : 607,298 = 607,298 : x
  2. Step 2: Convert to fraction form
    393,275/607,298 = 607,298/x
  3. Step 3: Cross multiply
    393,275x = 607,298 × 607,298
  4. Step 4: Simplify right side
    393,275x = 368,810,860,804
  5. Step 5: Solve for x
    x = 368,810,860,804/393,275
  6. Step 6: Final answer
    x = 937,793.81

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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.