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Finding the Third Proportional to 295,247 and 470,019

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Solution

The third proportional to 295,247 and 470,019 is: 748,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,247 : 470,019 = 470,019 : x
  2. Step 2: Convert to fraction form
    295,247/470,019 = 470,019/x
  3. Step 3: Cross multiply
    295,247x = 470,019 × 470,019
  4. Step 4: Simplify right side
    295,247x = 220,917,860,361
  5. Step 5: Solve for x
    x = 220,917,860,361/295,247
  6. Step 6: Final answer
    x = 748,247.60

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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.