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Finding the Third Proportional to 472,404 and 717,355

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Solution

The third proportional to 472,404 and 717,355 is: 1,089,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,404 : 717,355 = 717,355 : x
  2. Step 2: Convert to fraction form
    472,404/717,355 = 717,355/x
  3. Step 3: Cross multiply
    472,404x = 717,355 × 717,355
  4. Step 4: Simplify right side
    472,404x = 514,598,196,025
  5. Step 5: Solve for x
    x = 514,598,196,025/472,404
  6. Step 6: Final answer
    x = 1,089,318.03

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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.