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Finding the Third Proportional to 663.19 and 1,050.47

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Solution

The third proportional to 663.19 and 1,050.47 is: 1,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.19 : 1,050.47 = 1,050.47 : x
  2. Step 2: Convert to fraction form
    663.19/1,050.47 = 1,050.47/x
  3. Step 3: Cross multiply
    663.19x = 1,050.47 × 1,050.47
  4. Step 4: Simplify right side
    663.19x = 1,103,484.59
  5. Step 5: Solve for x
    x = 1,103,484.59/663.19
  6. Step 6: Final answer
    x = 1,663.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.