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Finding the Third Proportional to 409,378.50 and 620,428.50

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Solution

The third proportional to 409,378.50 and 620,428.50 is: 940,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,378.50 : 620,428.50 = 620,428.50 : x
  2. Step 2: Convert to fraction form
    409,378.50/620,428.50 = 620,428.50/x
  3. Step 3: Cross multiply
    409,378.50x = 620,428.50 × 620,428.50
  4. Step 4: Simplify right side
    409,378.50x = 384,931,523,612.25
  5. Step 5: Solve for x
    x = 384,931,523,612.25/409,378.50
  6. Step 6: Final answer
    x = 940,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.