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Finding the Third Proportional to 284,175 and 615,648

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Solution

The third proportional to 284,175 and 615,648 is: 1,333,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,175 : 615,648 = 615,648 : x
  2. Step 2: Convert to fraction form
    284,175/615,648 = 615,648/x
  3. Step 3: Cross multiply
    284,175x = 615,648 × 615,648
  4. Step 4: Simplify right side
    284,175x = 379,022,459,904
  5. Step 5: Solve for x
    x = 379,022,459,904/284,175
  6. Step 6: Final answer
    x = 1,333,764.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.