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Finding the Third Proportional to 283,310 and 610,336

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Solution

The third proportional to 283,310 and 610,336 is: 1,314,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,310 : 610,336 = 610,336 : x
  2. Step 2: Convert to fraction form
    283,310/610,336 = 610,336/x
  3. Step 3: Cross multiply
    283,310x = 610,336 × 610,336
  4. Step 4: Simplify right side
    283,310x = 372,510,032,896
  5. Step 5: Solve for x
    x = 372,510,032,896/283,310
  6. Step 6: Final answer
    x = 1,314,849.57

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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.