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Finding the Third Proportional to 344,818 and 531,763

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Solution

The third proportional to 344,818 and 531,763 is: 820,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,818 : 531,763 = 531,763 : x
  2. Step 2: Convert to fraction form
    344,818/531,763 = 531,763/x
  3. Step 3: Cross multiply
    344,818x = 531,763 × 531,763
  4. Step 4: Simplify right side
    344,818x = 282,771,888,169
  5. Step 5: Solve for x
    x = 282,771,888,169/344,818
  6. Step 6: Final answer
    x = 820,061.27

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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.