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Finding the Third Proportional to 311,591.50 and 508,750.50

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Solution

The third proportional to 311,591.50 and 508,750.50 is: 830,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,591.50 : 508,750.50 = 508,750.50 : x
  2. Step 2: Convert to fraction form
    311,591.50/508,750.50 = 508,750.50/x
  3. Step 3: Cross multiply
    311,591.50x = 508,750.50 × 508,750.50
  4. Step 4: Simplify right side
    311,591.50x = 258,827,071,250.25
  5. Step 5: Solve for x
    x = 258,827,071,250.25/311,591.50
  6. Step 6: Final answer
    x = 830,661.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.