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Finding the Third Proportional to 380,298 and 584,596

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Solution

The third proportional to 380,298 and 584,596 is: 898,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,298 : 584,596 = 584,596 : x
  2. Step 2: Convert to fraction form
    380,298/584,596 = 584,596/x
  3. Step 3: Cross multiply
    380,298x = 584,596 × 584,596
  4. Step 4: Simplify right side
    380,298x = 341,752,483,216
  5. Step 5: Solve for x
    x = 341,752,483,216/380,298
  6. Step 6: Final answer
    x = 898,643.91

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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.