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Finding the Third Proportional to 691,217 and 988,441.50

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Solution

The third proportional to 691,217 and 988,441.50 is: 1,413,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,217 : 988,441.50 = 988,441.50 : x
  2. Step 2: Convert to fraction form
    691,217/988,441.50 = 988,441.50/x
  3. Step 3: Cross multiply
    691,217x = 988,441.50 × 988,441.50
  4. Step 4: Simplify right side
    691,217x = 977,016,598,922.25
  5. Step 5: Solve for x
    x = 977,016,598,922.25/691,217
  6. Step 6: Final answer
    x = 1,413,473.05

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