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Finding the Third Proportional to 830.63 and 1,798.88

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Solution

The third proportional to 830.63 and 1,798.88 is: 3,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.63 : 1,798.88 = 1,798.88 : x
  2. Step 2: Convert to fraction form
    830.63/1,798.88 = 1,798.88/x
  3. Step 3: Cross multiply
    830.63x = 1,798.88 × 1,798.88
  4. Step 4: Simplify right side
    830.63x = 3,235,951.27
  5. Step 5: Solve for x
    x = 3,235,951.27/830.63
  6. Step 6: Final answer
    x = 3,895.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.