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Finding the Third Proportional to 369,639 and 541,282.50

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Solution

The third proportional to 369,639 and 541,282.50 is: 792,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,639 : 541,282.50 = 541,282.50 : x
  2. Step 2: Convert to fraction form
    369,639/541,282.50 = 541,282.50/x
  3. Step 3: Cross multiply
    369,639x = 541,282.50 × 541,282.50
  4. Step 4: Simplify right side
    369,639x = 292,986,744,806.25
  5. Step 5: Solve for x
    x = 292,986,744,806.25/369,639
  6. Step 6: Final answer
    x = 792,629.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.