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Finding the Third Proportional to 382,974 and 584,830

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Solution

The third proportional to 382,974 and 584,830 is: 893,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,974 : 584,830 = 584,830 : x
  2. Step 2: Convert to fraction form
    382,974/584,830 = 584,830/x
  3. Step 3: Cross multiply
    382,974x = 584,830 × 584,830
  4. Step 4: Simplify right side
    382,974x = 342,026,128,900
  5. Step 5: Solve for x
    x = 342,026,128,900/382,974
  6. Step 6: Final answer
    x = 893,079.24

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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.