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Finding the Third Proportional to 449,429.50 and 962,829

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Solution

The third proportional to 449,429.50 and 962,829 is: 2,062,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,429.50 : 962,829 = 962,829 : x
  2. Step 2: Convert to fraction form
    449,429.50/962,829 = 962,829/x
  3. Step 3: Cross multiply
    449,429.50x = 962,829 × 962,829
  4. Step 4: Simplify right side
    449,429.50x = 927,039,683,241
  5. Step 5: Solve for x
    x = 927,039,683,241/449,429.50
  6. Step 6: Final answer
    x = 2,062,703.23

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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.