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Finding the Third Proportional to 214,261 and 470,553

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Solution

The third proportional to 214,261 and 470,553 is: 1,033,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,261 : 470,553 = 470,553 : x
  2. Step 2: Convert to fraction form
    214,261/470,553 = 470,553/x
  3. Step 3: Cross multiply
    214,261x = 470,553 × 470,553
  4. Step 4: Simplify right side
    214,261x = 221,420,125,809
  5. Step 5: Solve for x
    x = 221,420,125,809/214,261
  6. Step 6: Final answer
    x = 1,033,413.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.