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Finding the Third Proportional to 283,432 and 598,856

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Solution

The third proportional to 283,432 and 598,856 is: 1,265,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,432 : 598,856 = 598,856 : x
  2. Step 2: Convert to fraction form
    283,432/598,856 = 598,856/x
  3. Step 3: Cross multiply
    283,432x = 598,856 × 598,856
  4. Step 4: Simplify right side
    283,432x = 358,628,508,736
  5. Step 5: Solve for x
    x = 358,628,508,736/283,432
  6. Step 6: Final answer
    x = 1,265,307.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.