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Finding the Third Proportional to 435,508 and 684,372

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Solution

The third proportional to 435,508 and 684,372 is: 1,075,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,508 : 684,372 = 684,372 : x
  2. Step 2: Convert to fraction form
    435,508/684,372 = 684,372/x
  3. Step 3: Cross multiply
    435,508x = 684,372 × 684,372
  4. Step 4: Simplify right side
    435,508x = 468,365,034,384
  5. Step 5: Solve for x
    x = 468,365,034,384/435,508
  6. Step 6: Final answer
    x = 1,075,445.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.