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Finding the Third Proportional to 284,158.50 and 607,716

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Solution

The third proportional to 284,158.50 and 607,716 is: 1,299,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,158.50 : 607,716 = 607,716 : x
  2. Step 2: Convert to fraction form
    284,158.50/607,716 = 607,716/x
  3. Step 3: Cross multiply
    284,158.50x = 607,716 × 607,716
  4. Step 4: Simplify right side
    284,158.50x = 369,318,736,656
  5. Step 5: Solve for x
    x = 369,318,736,656/284,158.50
  6. Step 6: Final answer
    x = 1,299,692.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.