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Finding the Third Proportional to 380,305 and 584,607

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Solution

The third proportional to 380,305 and 584,607 is: 898,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,305 : 584,607 = 584,607 : x
  2. Step 2: Convert to fraction form
    380,305/584,607 = 584,607/x
  3. Step 3: Cross multiply
    380,305x = 584,607 × 584,607
  4. Step 4: Simplify right side
    380,305x = 341,765,344,449
  5. Step 5: Solve for x
    x = 341,765,344,449/380,305
  6. Step 6: Final answer
    x = 898,661.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.