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Finding the Third Proportional to 309,253.50 and 656,415

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Solution

The third proportional to 309,253.50 and 656,415 is: 1,393,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,253.50 : 656,415 = 656,415 : x
  2. Step 2: Convert to fraction form
    309,253.50/656,415 = 656,415/x
  3. Step 3: Cross multiply
    309,253.50x = 656,415 × 656,415
  4. Step 4: Simplify right side
    309,253.50x = 430,880,652,225
  5. Step 5: Solve for x
    x = 430,880,652,225/309,253.50
  6. Step 6: Final answer
    x = 1,393,292.73

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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.