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Finding the Third Proportional to 435,510 and 684,375

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Solution

The third proportional to 435,510 and 684,375 is: 1,075,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,510 : 684,375 = 684,375 : x
  2. Step 2: Convert to fraction form
    435,510/684,375 = 684,375/x
  3. Step 3: Cross multiply
    435,510x = 684,375 × 684,375
  4. Step 4: Simplify right side
    435,510x = 468,369,140,625
  5. Step 5: Solve for x
    x = 468,369,140,625/435,510
  6. Step 6: Final answer
    x = 1,075,449.80

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