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Finding the Third Proportional to 280,072.69 and 607,564.55

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Solution

The third proportional to 280,072.69 and 607,564.55 is: 1,317,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,072.69 : 607,564.55 = 607,564.55 : x
  2. Step 2: Convert to fraction form
    280,072.69/607,564.55 = 607,564.55/x
  3. Step 3: Cross multiply
    280,072.69x = 607,564.55 × 607,564.55
  4. Step 4: Simplify right side
    280,072.69x = 369,134,678,619.42
  5. Step 5: Solve for x
    x = 369,134,678,619.42/280,072.69
  6. Step 6: Final answer
    x = 1,317,995.99

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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.