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Finding the Third Proportional to 386,051.06 and 590,558.34

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Solution

The third proportional to 386,051.06 and 590,558.34 is: 903,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,051.06 : 590,558.34 = 590,558.34 : x
  2. Step 2: Convert to fraction form
    386,051.06/590,558.34 = 590,558.34/x
  3. Step 3: Cross multiply
    386,051.06x = 590,558.34 × 590,558.34
  4. Step 4: Simplify right side
    386,051.06x = 348,759,157,372.74
  5. Step 5: Solve for x
    x = 348,759,157,372.74/386,051.06
  6. Step 6: Final answer
    x = 903,401.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.