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Finding the Third Proportional to 218,904 and 470,370

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Solution

The third proportional to 218,904 and 470,370 is: 1,010,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,904 : 470,370 = 470,370 : x
  2. Step 2: Convert to fraction form
    218,904/470,370 = 470,370/x
  3. Step 3: Cross multiply
    218,904x = 470,370 × 470,370
  4. Step 4: Simplify right side
    218,904x = 221,247,936,900
  5. Step 5: Solve for x
    x = 221,247,936,900/218,904
  6. Step 6: Final answer
    x = 1,010,707.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.