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Finding the Third Proportional to 613,413 and 931,157.50

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Solution

The third proportional to 613,413 and 931,157.50 is: 1,413,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,413 : 931,157.50 = 931,157.50 : x
  2. Step 2: Convert to fraction form
    613,413/931,157.50 = 931,157.50/x
  3. Step 3: Cross multiply
    613,413x = 931,157.50 × 931,157.50
  4. Step 4: Simplify right side
    613,413x = 867,054,289,806.25
  5. Step 5: Solve for x
    x = 867,054,289,806.25/613,413
  6. Step 6: Final answer
    x = 1,413,491.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.