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Finding the Third Proportional to 285,703.50 and 614,404.50

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Solution

The third proportional to 285,703.50 and 614,404.50 is: 1,321,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,703.50 : 614,404.50 = 614,404.50 : x
  2. Step 2: Convert to fraction form
    285,703.50/614,404.50 = 614,404.50/x
  3. Step 3: Cross multiply
    285,703.50x = 614,404.50 × 614,404.50
  4. Step 4: Simplify right side
    285,703.50x = 377,492,889,620.25
  5. Step 5: Solve for x
    x = 377,492,889,620.25/285,703.50
  6. Step 6: Final answer
    x = 1,321,274.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.