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Finding the Third Proportional to 386,352 and 591,009

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Solution

The third proportional to 386,352 and 591,009 is: 904,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,352 : 591,009 = 591,009 : x
  2. Step 2: Convert to fraction form
    386,352/591,009 = 591,009/x
  3. Step 3: Cross multiply
    386,352x = 591,009 × 591,009
  4. Step 4: Simplify right side
    386,352x = 349,291,638,081
  5. Step 5: Solve for x
    x = 349,291,638,081/386,352
  6. Step 6: Final answer
    x = 904,076.17

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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.