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Finding the Third Proportional to 366,894 and 805,954.50

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Solution

The third proportional to 366,894 and 805,954.50 is: 1,770,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,894 : 805,954.50 = 805,954.50 : x
  2. Step 2: Convert to fraction form
    366,894/805,954.50 = 805,954.50/x
  3. Step 3: Cross multiply
    366,894x = 805,954.50 × 805,954.50
  4. Step 4: Simplify right side
    366,894x = 649,562,656,070.25
  5. Step 5: Solve for x
    x = 649,562,656,070.25/366,894
  6. Step 6: Final answer
    x = 1,770,436.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.