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Finding the Third Proportional to 726,225.75 and 1,484,527.50

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Solution

The third proportional to 726,225.75 and 1,484,527.50 is: 3,034,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,225.75 : 1,484,527.50 = 1,484,527.50 : x
  2. Step 2: Convert to fraction form
    726,225.75/1,484,527.50 = 1,484,527.50/x
  3. Step 3: Cross multiply
    726,225.75x = 1,484,527.50 × 1,484,527.50
  4. Step 4: Simplify right side
    726,225.75x = 2,203,821,898,256.25
  5. Step 5: Solve for x
    x = 2,203,821,898,256.25/726,225.75
  6. Step 6: Final answer
    x = 3,034,623.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.