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Finding the Third Proportional to 470,643.75 and 720,100.13

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Solution

The third proportional to 470,643.75 and 720,100.13 is: 1,101,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643.75 : 720,100.13 = 720,100.13 : x
  2. Step 2: Convert to fraction form
    470,643.75/720,100.13 = 720,100.13/x
  3. Step 3: Cross multiply
    470,643.75x = 720,100.13 × 720,100.13
  4. Step 4: Simplify right side
    470,643.75x = 518,544,190,025.02
  5. Step 5: Solve for x
    x = 518,544,190,025.02/470,643.75
  6. Step 6: Final answer
    x = 1,101,776.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.