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Finding the Third Proportional to 369,254 and 789,682

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Solution

The third proportional to 369,254 and 789,682 is: 1,688,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,254 : 789,682 = 789,682 : x
  2. Step 2: Convert to fraction form
    369,254/789,682 = 789,682/x
  3. Step 3: Cross multiply
    369,254x = 789,682 × 789,682
  4. Step 4: Simplify right side
    369,254x = 623,597,661,124
  5. Step 5: Solve for x
    x = 623,597,661,124/369,254
  6. Step 6: Final answer
    x = 1,688,804.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.