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Finding the Third Proportional to 206,580 and 437,962.50

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Solution

The third proportional to 206,580 and 437,962.50 is: 928,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580 : 437,962.50 = 437,962.50 : x
  2. Step 2: Convert to fraction form
    206,580/437,962.50 = 437,962.50/x
  3. Step 3: Cross multiply
    206,580x = 437,962.50 × 437,962.50
  4. Step 4: Simplify right side
    206,580x = 191,811,151,406.25
  5. Step 5: Solve for x
    x = 191,811,151,406.25/206,580
  6. Step 6: Final answer
    x = 928,507.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.