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Finding the Third Proportional to 361,265 and 562,575

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Solution

The third proportional to 361,265 and 562,575 is: 876,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,265 : 562,575 = 562,575 : x
  2. Step 2: Convert to fraction form
    361,265/562,575 = 562,575/x
  3. Step 3: Cross multiply
    361,265x = 562,575 × 562,575
  4. Step 4: Simplify right side
    361,265x = 316,490,630,625
  5. Step 5: Solve for x
    x = 316,490,630,625/361,265
  6. Step 6: Final answer
    x = 876,062.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.