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Finding the Third Proportional to 645,982.50 and 991,573.50

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Solution

The third proportional to 645,982.50 and 991,573.50 is: 1,522,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,982.50 : 991,573.50 = 991,573.50 : x
  2. Step 2: Convert to fraction form
    645,982.50/991,573.50 = 991,573.50/x
  3. Step 3: Cross multiply
    645,982.50x = 991,573.50 × 991,573.50
  4. Step 4: Simplify right side
    645,982.50x = 983,218,005,902.25
  5. Step 5: Solve for x
    x = 983,218,005,902.25/645,982.50
  6. Step 6: Final answer
    x = 1,522,050.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.