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Finding the Third Proportional to 386,140 and 590,698

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Solution

The third proportional to 386,140 and 590,698 is: 903,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,140 : 590,698 = 590,698 : x
  2. Step 2: Convert to fraction form
    386,140/590,698 = 590,698/x
  3. Step 3: Cross multiply
    386,140x = 590,698 × 590,698
  4. Step 4: Simplify right side
    386,140x = 348,924,127,204
  5. Step 5: Solve for x
    x = 348,924,127,204/386,140
  6. Step 6: Final answer
    x = 903,620.78

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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.