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Finding the Third Proportional to 305,837 and 719,570.50

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Solution

The third proportional to 305,837 and 719,570.50 is: 1,692,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,837 : 719,570.50 = 719,570.50 : x
  2. Step 2: Convert to fraction form
    305,837/719,570.50 = 719,570.50/x
  3. Step 3: Cross multiply
    305,837x = 719,570.50 × 719,570.50
  4. Step 4: Simplify right side
    305,837x = 517,781,704,470.25
  5. Step 5: Solve for x
    x = 517,781,704,470.25/305,837
  6. Step 6: Final answer
    x = 1,692,998.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.