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Finding the Third Proportional to 305,410.50 and 466,013.25

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Solution

The third proportional to 305,410.50 and 466,013.25 is: 711,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,410.50 : 466,013.25 = 466,013.25 : x
  2. Step 2: Convert to fraction form
    305,410.50/466,013.25 = 466,013.25/x
  3. Step 3: Cross multiply
    305,410.50x = 466,013.25 × 466,013.25
  4. Step 4: Simplify right side
    305,410.50x = 217,168,349,175.56
  5. Step 5: Solve for x
    x = 217,168,349,175.56/305,410.50
  6. Step 6: Final answer
    x = 711,070.34

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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.