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Finding the Third Proportional to 285,354 and 674,833.50

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Solution

The third proportional to 285,354 and 674,833.50 is: 1,595,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354 : 674,833.50 = 674,833.50 : x
  2. Step 2: Convert to fraction form
    285,354/674,833.50 = 674,833.50/x
  3. Step 3: Cross multiply
    285,354x = 674,833.50 × 674,833.50
  4. Step 4: Simplify right side
    285,354x = 455,400,252,722.25
  5. Step 5: Solve for x
    x = 455,400,252,722.25/285,354
  6. Step 6: Final answer
    x = 1,595,913.33

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.