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Finding the Third Proportional to 356,586 and 553,923

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Solution

The third proportional to 356,586 and 553,923 is: 860,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,586 : 553,923 = 553,923 : x
  2. Step 2: Convert to fraction form
    356,586/553,923 = 553,923/x
  3. Step 3: Cross multiply
    356,586x = 553,923 × 553,923
  4. Step 4: Simplify right side
    356,586x = 306,830,689,929
  5. Step 5: Solve for x
    x = 306,830,689,929/356,586
  6. Step 6: Final answer
    x = 860,467.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.