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Finding the Third Proportional to 647,529.19 and 971,296.31

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Solution

The third proportional to 647,529.19 and 971,296.31 is: 1,456,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,529.19 : 971,296.31 = 971,296.31 : x
  2. Step 2: Convert to fraction form
    647,529.19/971,296.31 = 971,296.31/x
  3. Step 3: Cross multiply
    647,529.19x = 971,296.31 × 971,296.31
  4. Step 4: Simplify right side
    647,529.19x = 943,416,526,676.10
  5. Step 5: Solve for x
    x = 943,416,526,676.10/647,529.19
  6. Step 6: Final answer
    x = 1,456,948.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.