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Finding the Third Proportional to 698,222.25 and 996,619.50

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Solution

The third proportional to 698,222.25 and 996,619.50 is: 1,422,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,222.25 : 996,619.50 = 996,619.50 : x
  2. Step 2: Convert to fraction form
    698,222.25/996,619.50 = 996,619.50/x
  3. Step 3: Cross multiply
    698,222.25x = 996,619.50 × 996,619.50
  4. Step 4: Simplify right side
    698,222.25x = 993,250,427,780.25
  5. Step 5: Solve for x
    x = 993,250,427,780.25/698,222.25
  6. Step 6: Final answer
    x = 1,422,541.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.