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Finding the Third Proportional to 285,573.09 and 627,188.06

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Solution

The third proportional to 285,573.09 and 627,188.06 is: 1,377,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,573.09 : 627,188.06 = 627,188.06 : x
  2. Step 2: Convert to fraction form
    285,573.09/627,188.06 = 627,188.06/x
  3. Step 3: Cross multiply
    285,573.09x = 627,188.06 × 627,188.06
  4. Step 4: Simplify right side
    285,573.09x = 393,364,865,742.50
  5. Step 5: Solve for x
    x = 393,364,865,742.50/285,573.09
  6. Step 6: Final answer
    x = 1,377,457.73

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Why These Related Problems?

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