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Finding the Third Proportional to 472,440 and 717,404

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Solution

The third proportional to 472,440 and 717,404 is: 1,089,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,440 : 717,404 = 717,404 : x
  2. Step 2: Convert to fraction form
    472,440/717,404 = 717,404/x
  3. Step 3: Cross multiply
    472,440x = 717,404 × 717,404
  4. Step 4: Simplify right side
    472,440x = 514,668,499,216
  5. Step 5: Solve for x
    x = 514,668,499,216/472,440
  6. Step 6: Final answer
    x = 1,089,383.84

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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.