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Finding the Third Proportional to 335,745 and 520,637.63

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Solution

The third proportional to 335,745 and 520,637.63 is: 807,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,745 : 520,637.63 = 520,637.63 : x
  2. Step 2: Convert to fraction form
    335,745/520,637.63 = 520,637.63/x
  3. Step 3: Cross multiply
    335,745x = 520,637.63 × 520,637.63
  4. Step 4: Simplify right side
    335,745x = 271,063,536,565.64
  5. Step 5: Solve for x
    x = 271,063,536,565.64/335,745
  6. Step 6: Final answer
    x = 807,349.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.