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Finding the Third Proportional to 310,999.50 and 467,683.88

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Solution

The third proportional to 310,999.50 and 467,683.88 is: 703,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,999.50 : 467,683.88 = 467,683.88 : x
  2. Step 2: Convert to fraction form
    310,999.50/467,683.88 = 467,683.88/x
  3. Step 3: Cross multiply
    310,999.50x = 467,683.88 × 467,683.88
  4. Step 4: Simplify right side
    310,999.50x = 218,728,206,935.02
  5. Step 5: Solve for x
    x = 218,728,206,935.02/310,999.50
  6. Step 6: Final answer
    x = 703,307.26

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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.