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Finding the Third Proportional to 369,743 and 584,966

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Solution

The third proportional to 369,743 and 584,966 is: 925,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,743 : 584,966 = 584,966 : x
  2. Step 2: Convert to fraction form
    369,743/584,966 = 584,966/x
  3. Step 3: Cross multiply
    369,743x = 584,966 × 584,966
  4. Step 4: Simplify right side
    369,743x = 342,185,221,156
  5. Step 5: Solve for x
    x = 342,185,221,156/369,743
  6. Step 6: Final answer
    x = 925,467.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.