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Finding the Third Proportional to 363,816 and 745,664

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Solution

The third proportional to 363,816 and 745,664 is: 1,528,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,816 : 745,664 = 745,664 : x
  2. Step 2: Convert to fraction form
    363,816/745,664 = 745,664/x
  3. Step 3: Cross multiply
    363,816x = 745,664 × 745,664
  4. Step 4: Simplify right side
    363,816x = 556,014,800,896
  5. Step 5: Solve for x
    x = 556,014,800,896/363,816
  6. Step 6: Final answer
    x = 1,528,285.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.