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Finding the Third Proportional to 353,826 and 754,884

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Solution

The third proportional to 353,826 and 754,884 is: 1,610,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,826 : 754,884 = 754,884 : x
  2. Step 2: Convert to fraction form
    353,826/754,884 = 754,884/x
  3. Step 3: Cross multiply
    353,826x = 754,884 × 754,884
  4. Step 4: Simplify right side
    353,826x = 569,849,853,456
  5. Step 5: Solve for x
    x = 569,849,853,456/353,826
  6. Step 6: Final answer
    x = 1,610,536.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.