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Finding the Third Proportional to 386,348 and 591,004

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Solution

The third proportional to 386,348 and 591,004 is: 904,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,348 : 591,004 = 591,004 : x
  2. Step 2: Convert to fraction form
    386,348/591,004 = 591,004/x
  3. Step 3: Cross multiply
    386,348x = 591,004 × 591,004
  4. Step 4: Simplify right side
    386,348x = 349,285,728,016
  5. Step 5: Solve for x
    x = 349,285,728,016/386,348
  6. Step 6: Final answer
    x = 904,070.24

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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.