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Finding the Third Proportional to 280,657.50 and 617,358

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Solution

The third proportional to 280,657.50 and 617,358 is: 1,357,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,657.50 : 617,358 = 617,358 : x
  2. Step 2: Convert to fraction form
    280,657.50/617,358 = 617,358/x
  3. Step 3: Cross multiply
    280,657.50x = 617,358 × 617,358
  4. Step 4: Simplify right side
    280,657.50x = 381,130,900,164
  5. Step 5: Solve for x
    x = 381,130,900,164/280,657.50
  6. Step 6: Final answer
    x = 1,357,992.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.