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Finding the Third Proportional to 283,398 and 598,788

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Solution

The third proportional to 283,398 and 598,788 is: 1,265,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,398 : 598,788 = 598,788 : x
  2. Step 2: Convert to fraction form
    283,398/598,788 = 598,788/x
  3. Step 3: Cross multiply
    283,398x = 598,788 × 598,788
  4. Step 4: Simplify right side
    283,398x = 358,547,068,944
  5. Step 5: Solve for x
    x = 358,547,068,944/283,398
  6. Step 6: Final answer
    x = 1,265,171.49

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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.