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Finding the Third Proportional to 386,358 and 591,012

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Solution

The third proportional to 386,358 and 591,012 is: 904,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,358 : 591,012 = 591,012 : x
  2. Step 2: Convert to fraction form
    386,358/591,012 = 591,012/x
  3. Step 3: Cross multiply
    386,358x = 591,012 × 591,012
  4. Step 4: Simplify right side
    386,358x = 349,295,184,144
  5. Step 5: Solve for x
    x = 349,295,184,144/386,358
  6. Step 6: Final answer
    x = 904,071.31

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