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Finding the Third Proportional to 283,324 and 610,364

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Solution

The third proportional to 283,324 and 610,364 is: 1,314,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,324 : 610,364 = 610,364 : x
  2. Step 2: Convert to fraction form
    283,324/610,364 = 610,364/x
  3. Step 3: Cross multiply
    283,324x = 610,364 × 610,364
  4. Step 4: Simplify right side
    283,324x = 372,544,212,496
  5. Step 5: Solve for x
    x = 372,544,212,496/283,324
  6. Step 6: Final answer
    x = 1,314,905.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.