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Finding the Third Proportional to 484.58 and 1,037.50

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Solution

The third proportional to 484.58 and 1,037.50 is: 2,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.58 : 1,037.50 = 1,037.50 : x
  2. Step 2: Convert to fraction form
    484.58/1,037.50 = 1,037.50/x
  3. Step 3: Cross multiply
    484.58x = 1,037.50 × 1,037.50
  4. Step 4: Simplify right side
    484.58x = 1,076,398.14
  5. Step 5: Solve for x
    x = 1,076,398.14/484.58
  6. Step 6: Final answer
    x = 2,221.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.