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Finding the Third Proportional to 771,381 and 1,156,333.50

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Solution

The third proportional to 771,381 and 1,156,333.50 is: 1,733,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,381 : 1,156,333.50 = 1,156,333.50 : x
  2. Step 2: Convert to fraction form
    771,381/1,156,333.50 = 1,156,333.50/x
  3. Step 3: Cross multiply
    771,381x = 1,156,333.50 × 1,156,333.50
  4. Step 4: Simplify right side
    771,381x = 1,337,107,163,222.25
  5. Step 5: Solve for x
    x = 1,337,107,163,222.25/771,381
  6. Step 6: Final answer
    x = 1,733,393.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.