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Finding the Third Proportional to 658,232.44 and 983,005.06

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Solution

The third proportional to 658,232.44 and 983,005.06 is: 1,468,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,232.44 : 983,005.06 = 983,005.06 : x
  2. Step 2: Convert to fraction form
    658,232.44/983,005.06 = 983,005.06/x
  3. Step 3: Cross multiply
    658,232.44x = 983,005.06 × 983,005.06
  4. Step 4: Simplify right side
    658,232.44x = 966,298,952,900.63
  5. Step 5: Solve for x
    x = 966,298,952,900.63/658,232.44
  6. Step 6: Final answer
    x = 1,468,020.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.