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Finding the Third Proportional to 283,308 and 610,332

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Solution

The third proportional to 283,308 and 610,332 is: 1,314,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,308 : 610,332 = 610,332 : x
  2. Step 2: Convert to fraction form
    283,308/610,332 = 610,332/x
  3. Step 3: Cross multiply
    283,308x = 610,332 × 610,332
  4. Step 4: Simplify right side
    283,308x = 372,505,150,224
  5. Step 5: Solve for x
    x = 372,505,150,224/283,308
  6. Step 6: Final answer
    x = 1,314,841.62

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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.