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Finding the Third Proportional to 351,015.50 and 684,535

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Solution

The third proportional to 351,015.50 and 684,535 is: 1,334,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,015.50 : 684,535 = 684,535 : x
  2. Step 2: Convert to fraction form
    351,015.50/684,535 = 684,535/x
  3. Step 3: Cross multiply
    351,015.50x = 684,535 × 684,535
  4. Step 4: Simplify right side
    351,015.50x = 468,588,166,225
  5. Step 5: Solve for x
    x = 468,588,166,225/351,015.50
  6. Step 6: Final answer
    x = 1,334,950.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.