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Finding the Third Proportional to 309,639 and 472,462.50

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Solution

The third proportional to 309,639 and 472,462.50 is: 720,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,639 : 472,462.50 = 472,462.50 : x
  2. Step 2: Convert to fraction form
    309,639/472,462.50 = 472,462.50/x
  3. Step 3: Cross multiply
    309,639x = 472,462.50 × 472,462.50
  4. Step 4: Simplify right side
    309,639x = 223,220,813,906.25
  5. Step 5: Solve for x
    x = 223,220,813,906.25/309,639
  6. Step 6: Final answer
    x = 720,906.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.