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Finding the Third Proportional to 305,865 and 466,573.50

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Solution

The third proportional to 305,865 and 466,573.50 is: 711,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,865 : 466,573.50 = 466,573.50 : x
  2. Step 2: Convert to fraction form
    305,865/466,573.50 = 466,573.50/x
  3. Step 3: Cross multiply
    305,865x = 466,573.50 × 466,573.50
  4. Step 4: Simplify right side
    305,865x = 217,690,830,902.25
  5. Step 5: Solve for x
    x = 217,690,830,902.25/305,865
  6. Step 6: Final answer
    x = 711,721.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.