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Finding the Third Proportional to 295,241 and 470,010

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Solution

The third proportional to 295,241 and 470,010 is: 748,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,241 : 470,010 = 470,010 : x
  2. Step 2: Convert to fraction form
    295,241/470,010 = 470,010/x
  3. Step 3: Cross multiply
    295,241x = 470,010 × 470,010
  4. Step 4: Simplify right side
    295,241x = 220,909,400,100
  5. Step 5: Solve for x
    x = 220,909,400,100/295,241
  6. Step 6: Final answer
    x = 748,234.15

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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.