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Finding the Third Proportional to 743,463.75 and 1,582,831.50

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Solution

The third proportional to 743,463.75 and 1,582,831.50 is: 3,369,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,463.75 : 1,582,831.50 = 1,582,831.50 : x
  2. Step 2: Convert to fraction form
    743,463.75/1,582,831.50 = 1,582,831.50/x
  3. Step 3: Cross multiply
    743,463.75x = 1,582,831.50 × 1,582,831.50
  4. Step 4: Simplify right side
    743,463.75x = 2,505,355,557,392.25
  5. Step 5: Solve for x
    x = 2,505,355,557,392.25/743,463.75
  6. Step 6: Final answer
    x = 3,369,842.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.