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Finding the Third Proportional to 523,688 and 800,764

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Solution

The third proportional to 523,688 and 800,764 is: 1,224,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,688 : 800,764 = 800,764 : x
  2. Step 2: Convert to fraction form
    523,688/800,764 = 800,764/x
  3. Step 3: Cross multiply
    523,688x = 800,764 × 800,764
  4. Step 4: Simplify right side
    523,688x = 641,222,983,696
  5. Step 5: Solve for x
    x = 641,222,983,696/523,688
  6. Step 6: Final answer
    x = 1,224,437.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.