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Finding the Third Proportional to 295,242 and 470,011

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Solution

The third proportional to 295,242 and 470,011 is: 748,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,242 : 470,011 = 470,011 : x
  2. Step 2: Convert to fraction form
    295,242/470,011 = 470,011/x
  3. Step 3: Cross multiply
    295,242x = 470,011 × 470,011
  4. Step 4: Simplify right side
    295,242x = 220,910,340,121
  5. Step 5: Solve for x
    x = 220,910,340,121/295,242
  6. Step 6: Final answer
    x = 748,234.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.