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Finding the Third Proportional to 470,860 and 717,170

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Solution

The third proportional to 470,860 and 717,170 is: 1,092,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,860 : 717,170 = 717,170 : x
  2. Step 2: Convert to fraction form
    470,860/717,170 = 717,170/x
  3. Step 3: Cross multiply
    470,860x = 717,170 × 717,170
  4. Step 4: Simplify right side
    470,860x = 514,332,808,900
  5. Step 5: Solve for x
    x = 514,332,808,900/470,860
  6. Step 6: Final answer
    x = 1,092,326.40

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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.