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Finding the Third Proportional to 470,796 and 707,247

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Solution

The third proportional to 470,796 and 707,247 is: 1,062,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,796 : 707,247 = 707,247 : x
  2. Step 2: Convert to fraction form
    470,796/707,247 = 707,247/x
  3. Step 3: Cross multiply
    470,796x = 707,247 × 707,247
  4. Step 4: Simplify right side
    470,796x = 500,198,319,009
  5. Step 5: Solve for x
    x = 500,198,319,009/470,796
  6. Step 6: Final answer
    x = 1,062,452.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.