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Finding the Third Proportional to 276,810 and 413,773.50

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Solution

The third proportional to 276,810 and 413,773.50 is: 618,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810 : 413,773.50 = 413,773.50 : x
  2. Step 2: Convert to fraction form
    276,810/413,773.50 = 413,773.50/x
  3. Step 3: Cross multiply
    276,810x = 413,773.50 × 413,773.50
  4. Step 4: Simplify right side
    276,810x = 171,208,509,302.25
  5. Step 5: Solve for x
    x = 171,208,509,302.25/276,810
  6. Step 6: Final answer
    x = 618,505.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.