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Finding the Third Proportional to 386,342 and 590,999

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Solution

The third proportional to 386,342 and 590,999 is: 904,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,342 : 590,999 = 590,999 : x
  2. Step 2: Convert to fraction form
    386,342/590,999 = 590,999/x
  3. Step 3: Cross multiply
    386,342x = 590,999 × 590,999
  4. Step 4: Simplify right side
    386,342x = 349,279,818,001
  5. Step 5: Solve for x
    x = 349,279,818,001/386,342
  6. Step 6: Final answer
    x = 904,068.98

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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.