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Finding the Third Proportional to 365,451 and 562,440

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Solution

The third proportional to 365,451 and 562,440 is: 865,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,451 : 562,440 = 562,440 : x
  2. Step 2: Convert to fraction form
    365,451/562,440 = 562,440/x
  3. Step 3: Cross multiply
    365,451x = 562,440 × 562,440
  4. Step 4: Simplify right side
    365,451x = 316,338,753,600
  5. Step 5: Solve for x
    x = 316,338,753,600/365,451
  6. Step 6: Final answer
    x = 865,611.95

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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.