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Finding the Third Proportional to 365,794.88 and 562,685.63

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Solution

The third proportional to 365,794.88 and 562,685.63 is: 865,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,794.88 : 562,685.63 = 562,685.63 : x
  2. Step 2: Convert to fraction form
    365,794.88/562,685.63 = 562,685.63/x
  3. Step 3: Cross multiply
    365,794.88x = 562,685.63 × 562,685.63
  4. Step 4: Simplify right side
    365,794.88x = 316,615,112,581.64
  5. Step 5: Solve for x
    x = 316,615,112,581.64/365,794.88
  6. Step 6: Final answer
    x = 865,553.71

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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.