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Finding the Third Proportional to 310,869 and 466,573.50

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Solution

The third proportional to 310,869 and 466,573.50 is: 700,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 466,573.50 = 466,573.50 : x
  2. Step 2: Convert to fraction form
    310,869/466,573.50 = 466,573.50/x
  3. Step 3: Cross multiply
    310,869x = 466,573.50 × 466,573.50
  4. Step 4: Simplify right side
    310,869x = 217,690,830,902.25
  5. Step 5: Solve for x
    x = 217,690,830,902.25/310,869
  6. Step 6: Final answer
    x = 700,265.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.