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Finding the Third Proportional to 361,548 and 751,770

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Solution

The third proportional to 361,548 and 751,770 is: 1,563,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,548 : 751,770 = 751,770 : x
  2. Step 2: Convert to fraction form
    361,548/751,770 = 751,770/x
  3. Step 3: Cross multiply
    361,548x = 751,770 × 751,770
  4. Step 4: Simplify right side
    361,548x = 565,158,132,900
  5. Step 5: Solve for x
    x = 565,158,132,900/361,548
  6. Step 6: Final answer
    x = 1,563,162.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.