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Finding the Third Proportional to 223,506 and 486,910

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Solution

The third proportional to 223,506 and 486,910 is: 1,060,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,506 : 486,910 = 486,910 : x
  2. Step 2: Convert to fraction form
    223,506/486,910 = 486,910/x
  3. Step 3: Cross multiply
    223,506x = 486,910 × 486,910
  4. Step 4: Simplify right side
    223,506x = 237,081,348,100
  5. Step 5: Solve for x
    x = 237,081,348,100/223,506
  6. Step 6: Final answer
    x = 1,060,738.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.