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Finding the Third Proportional to 698,671.50 and 988,819.50

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Solution

The third proportional to 698,671.50 and 988,819.50 is: 1,399,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,671.50 : 988,819.50 = 988,819.50 : x
  2. Step 2: Convert to fraction form
    698,671.50/988,819.50 = 988,819.50/x
  3. Step 3: Cross multiply
    698,671.50x = 988,819.50 × 988,819.50
  4. Step 4: Simplify right side
    698,671.50x = 977,764,003,580.25
  5. Step 5: Solve for x
    x = 977,764,003,580.25/698,671.50
  6. Step 6: Final answer
    x = 1,399,461.70

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.