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Finding the Third Proportional to 449,534.81 and 956,280.94

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Solution

The third proportional to 449,534.81 and 956,280.94 is: 2,034,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,534.81 : 956,280.94 = 956,280.94 : x
  2. Step 2: Convert to fraction form
    449,534.81/956,280.94 = 956,280.94/x
  3. Step 3: Cross multiply
    449,534.81x = 956,280.94 × 956,280.94
  4. Step 4: Simplify right side
    449,534.81x = 914,473,231,425.88
  5. Step 5: Solve for x
    x = 914,473,231,425.88/449,534.81
  6. Step 6: Final answer
    x = 2,034,265.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.