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Finding the Third Proportional to 305,842.50 and 472,405.50

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Solution

The third proportional to 305,842.50 and 472,405.50 is: 729,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,842.50 : 472,405.50 = 472,405.50 : x
  2. Step 2: Convert to fraction form
    305,842.50/472,405.50 = 472,405.50/x
  3. Step 3: Cross multiply
    305,842.50x = 472,405.50 × 472,405.50
  4. Step 4: Simplify right side
    305,842.50x = 223,166,956,430.25
  5. Step 5: Solve for x
    x = 223,166,956,430.25/305,842.50
  6. Step 6: Final answer
    x = 729,679.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.