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Finding the Third Proportional to 305,211 and 464,917.50

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Solution

The third proportional to 305,211 and 464,917.50 is: 708,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211 : 464,917.50 = 464,917.50 : x
  2. Step 2: Convert to fraction form
    305,211/464,917.50 = 464,917.50/x
  3. Step 3: Cross multiply
    305,211x = 464,917.50 × 464,917.50
  4. Step 4: Simplify right side
    305,211x = 216,148,281,806.25
  5. Step 5: Solve for x
    x = 216,148,281,806.25/305,211
  6. Step 6: Final answer
    x = 708,192.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.