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Finding the Third Proportional to 365,864 and 520,053

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Solution

The third proportional to 365,864 and 520,053 is: 739,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,864 : 520,053 = 520,053 : x
  2. Step 2: Convert to fraction form
    365,864/520,053 = 520,053/x
  3. Step 3: Cross multiply
    365,864x = 520,053 × 520,053
  4. Step 4: Simplify right side
    365,864x = 270,455,122,809
  5. Step 5: Solve for x
    x = 270,455,122,809/365,864
  6. Step 6: Final answer
    x = 739,223.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.