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Finding the Third Proportional to 486,171 and 735,963.50

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Solution

The third proportional to 486,171 and 735,963.50 is: 1,114,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,171 : 735,963.50 = 735,963.50 : x
  2. Step 2: Convert to fraction form
    486,171/735,963.50 = 735,963.50/x
  3. Step 3: Cross multiply
    486,171x = 735,963.50 × 735,963.50
  4. Step 4: Simplify right side
    486,171x = 541,642,273,332.25
  5. Step 5: Solve for x
    x = 541,642,273,332.25/486,171
  6. Step 6: Final answer
    x = 1,114,098.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.