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Finding the Third Proportional to 361,213.80 and 562,503.23

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Solution

The third proportional to 361,213.80 and 562,503.23 is: 875,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,213.80 : 562,503.23 = 562,503.23 : x
  2. Step 2: Convert to fraction form
    361,213.80/562,503.23 = 562,503.23/x
  3. Step 3: Cross multiply
    361,213.80x = 562,503.23 × 562,503.23
  4. Step 4: Simplify right side
    361,213.80x = 316,409,888,682.34
  5. Step 5: Solve for x
    x = 316,409,888,682.34/361,213.80
  6. Step 6: Final answer
    x = 875,962.89

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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.