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Finding the Third Proportional to 634,419 and 926,311.50

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Solution

The third proportional to 634,419 and 926,311.50 is: 1,352,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,419 : 926,311.50 = 926,311.50 : x
  2. Step 2: Convert to fraction form
    634,419/926,311.50 = 926,311.50/x
  3. Step 3: Cross multiply
    634,419x = 926,311.50 × 926,311.50
  4. Step 4: Simplify right side
    634,419x = 858,052,995,032.25
  5. Step 5: Solve for x
    x = 858,052,995,032.25/634,419
  6. Step 6: Final answer
    x = 1,352,502.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.