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Finding the Third Proportional to 644,828.50 and 1,366,465.50

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Solution

The third proportional to 644,828.50 and 1,366,465.50 is: 2,895,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,828.50 : 1,366,465.50 = 1,366,465.50 : x
  2. Step 2: Convert to fraction form
    644,828.50/1,366,465.50 = 1,366,465.50/x
  3. Step 3: Cross multiply
    644,828.50x = 1,366,465.50 × 1,366,465.50
  4. Step 4: Simplify right side
    644,828.50x = 1,867,227,962,690.25
  5. Step 5: Solve for x
    x = 1,867,227,962,690.25/644,828.50
  6. Step 6: Final answer
    x = 2,895,697.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.