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Finding the Third Proportional to 310,786 and 467,335.50

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Solution

The third proportional to 310,786 and 467,335.50 is: 702,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,786 : 467,335.50 = 467,335.50 : x
  2. Step 2: Convert to fraction form
    310,786/467,335.50 = 467,335.50/x
  3. Step 3: Cross multiply
    310,786x = 467,335.50 × 467,335.50
  4. Step 4: Simplify right side
    310,786x = 218,402,469,560.25
  5. Step 5: Solve for x
    x = 218,402,469,560.25/310,786
  6. Step 6: Final answer
    x = 702,742.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.