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Finding the Third Proportional to 305,923.50 and 719,970

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Solution

The third proportional to 305,923.50 and 719,970 is: 1,694,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,923.50 : 719,970 = 719,970 : x
  2. Step 2: Convert to fraction form
    305,923.50/719,970 = 719,970/x
  3. Step 3: Cross multiply
    305,923.50x = 719,970 × 719,970
  4. Step 4: Simplify right side
    305,923.50x = 518,356,800,900
  5. Step 5: Solve for x
    x = 518,356,800,900/305,923.50
  6. Step 6: Final answer
    x = 1,694,400.07

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