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Finding the Third Proportional to 243,213 and 520,050

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Solution

The third proportional to 243,213 and 520,050 is: 1,111,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,213 : 520,050 = 520,050 : x
  2. Step 2: Convert to fraction form
    243,213/520,050 = 520,050/x
  3. Step 3: Cross multiply
    243,213x = 520,050 × 520,050
  4. Step 4: Simplify right side
    243,213x = 270,452,002,500
  5. Step 5: Solve for x
    x = 270,452,002,500/243,213
  6. Step 6: Final answer
    x = 1,111,996.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.