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Finding the Third Proportional to 365,466 and 562,467

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Solution

The third proportional to 365,466 and 562,467 is: 865,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,466 : 562,467 = 562,467 : x
  2. Step 2: Convert to fraction form
    365,466/562,467 = 562,467/x
  3. Step 3: Cross multiply
    365,466x = 562,467 × 562,467
  4. Step 4: Simplify right side
    365,466x = 316,369,126,089
  5. Step 5: Solve for x
    x = 316,369,126,089/365,466
  6. Step 6: Final answer
    x = 865,659.53

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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.