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Finding the Third Proportional to 283,284 and 608,670

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Solution

The third proportional to 283,284 and 608,670 is: 1,307,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,284 : 608,670 = 608,670 : x
  2. Step 2: Convert to fraction form
    283,284/608,670 = 608,670/x
  3. Step 3: Cross multiply
    283,284x = 608,670 × 608,670
  4. Step 4: Simplify right side
    283,284x = 370,479,168,900
  5. Step 5: Solve for x
    x = 370,479,168,900/283,284
  6. Step 6: Final answer
    x = 1,307,801.25

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Why These Related Problems?

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