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Finding the Third Proportional to 285,108.75 and 617,271.75

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Solution

The third proportional to 285,108.75 and 617,271.75 is: 1,336,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,108.75 : 617,271.75 = 617,271.75 : x
  2. Step 2: Convert to fraction form
    285,108.75/617,271.75 = 617,271.75/x
  3. Step 3: Cross multiply
    285,108.75x = 617,271.75 × 617,271.75
  4. Step 4: Simplify right side
    285,108.75x = 381,024,413,348.06
  5. Step 5: Solve for x
    x = 381,024,413,348.06/285,108.75
  6. Step 6: Final answer
    x = 1,336,417.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.