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Finding the Third Proportional to 472,617 and 717,661.50

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Solution

The third proportional to 472,617 and 717,661.50 is: 1,089,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,617 : 717,661.50 = 717,661.50 : x
  2. Step 2: Convert to fraction form
    472,617/717,661.50 = 717,661.50/x
  3. Step 3: Cross multiply
    472,617x = 717,661.50 × 717,661.50
  4. Step 4: Simplify right side
    472,617x = 515,038,028,582.25
  5. Step 5: Solve for x
    x = 515,038,028,582.25/472,617
  6. Step 6: Final answer
    x = 1,089,757.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.