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Finding the Third Proportional to 283,276.50 and 611,796

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Solution

The third proportional to 283,276.50 and 611,796 is: 1,321,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,276.50 : 611,796 = 611,796 : x
  2. Step 2: Convert to fraction form
    283,276.50/611,796 = 611,796/x
  3. Step 3: Cross multiply
    283,276.50x = 611,796 × 611,796
  4. Step 4: Simplify right side
    283,276.50x = 374,294,345,616
  5. Step 5: Solve for x
    x = 374,294,345,616/283,276.50
  6. Step 6: Final answer
    x = 1,321,303.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.