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Finding the Third Proportional to 608,680 and 936,764

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Solution

The third proportional to 608,680 and 936,764 is: 1,441,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,680 : 936,764 = 936,764 : x
  2. Step 2: Convert to fraction form
    608,680/936,764 = 936,764/x
  3. Step 3: Cross multiply
    608,680x = 936,764 × 936,764
  4. Step 4: Simplify right side
    608,680x = 877,526,791,696
  5. Step 5: Solve for x
    x = 877,526,791,696/608,680
  6. Step 6: Final answer
    x = 1,441,688.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.