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Finding the Third Proportional to 365,418.84 and 562,393.13

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Solution

The third proportional to 365,418.84 and 562,393.13 is: 865,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,418.84 : 562,393.13 = 562,393.13 : x
  2. Step 2: Convert to fraction form
    365,418.84/562,393.13 = 562,393.13/x
  3. Step 3: Cross multiply
    365,418.84x = 562,393.13 × 562,393.13
  4. Step 4: Simplify right side
    365,418.84x = 316,286,027,047.27
  5. Step 5: Solve for x
    x = 316,286,027,047.27/365,418.84
  6. Step 6: Final answer
    x = 865,543.83

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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.