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Finding the Third Proportional to 644,023.50 and 966,117

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Solution

The third proportional to 644,023.50 and 966,117 is: 1,449,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,023.50 : 966,117 = 966,117 : x
  2. Step 2: Convert to fraction form
    644,023.50/966,117 = 966,117/x
  3. Step 3: Cross multiply
    644,023.50x = 966,117 × 966,117
  4. Step 4: Simplify right side
    644,023.50x = 933,382,057,689
  5. Step 5: Solve for x
    x = 933,382,057,689/644,023.50
  6. Step 6: Final answer
    x = 1,449,298.14

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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.