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Finding the Third Proportional to 244,215 and 508,963.50

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Solution

The third proportional to 244,215 and 508,963.50 is: 1,060,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,215 : 508,963.50 = 508,963.50 : x
  2. Step 2: Convert to fraction form
    244,215/508,963.50 = 508,963.50/x
  3. Step 3: Cross multiply
    244,215x = 508,963.50 × 508,963.50
  4. Step 4: Simplify right side
    244,215x = 259,043,844,332.25
  5. Step 5: Solve for x
    x = 259,043,844,332.25/244,215
  6. Step 6: Final answer
    x = 1,060,720.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.