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Finding the Third Proportional to 310,783.88 and 467,332.50

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Solution

The third proportional to 310,783.88 and 467,332.50 is: 702,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,783.88 : 467,332.50 = 467,332.50 : x
  2. Step 2: Convert to fraction form
    310,783.88/467,332.50 = 467,332.50/x
  3. Step 3: Cross multiply
    310,783.88x = 467,332.50 × 467,332.50
  4. Step 4: Simplify right side
    310,783.88x = 218,399,665,556.25
  5. Step 5: Solve for x
    x = 218,399,665,556.25/310,783.88
  6. Step 6: Final answer
    x = 702,738.09

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