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Finding the Third Proportional to 383,692.50 and 807,156

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Solution

The third proportional to 383,692.50 and 807,156 is: 1,697,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,692.50 : 807,156 = 807,156 : x
  2. Step 2: Convert to fraction form
    383,692.50/807,156 = 807,156/x
  3. Step 3: Cross multiply
    383,692.50x = 807,156 × 807,156
  4. Step 4: Simplify right side
    383,692.50x = 651,500,808,336
  5. Step 5: Solve for x
    x = 651,500,808,336/383,692.50
  6. Step 6: Final answer
    x = 1,697,976.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.