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Finding the Third Proportional to 386,320 and 591,008

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Solution

The third proportional to 386,320 and 591,008 is: 904,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,320 : 591,008 = 591,008 : x
  2. Step 2: Convert to fraction form
    386,320/591,008 = 591,008/x
  3. Step 3: Cross multiply
    386,320x = 591,008 × 591,008
  4. Step 4: Simplify right side
    386,320x = 349,290,456,064
  5. Step 5: Solve for x
    x = 349,290,456,064/386,320
  6. Step 6: Final answer
    x = 904,148.00

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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.