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Finding the Third Proportional to 284,027 and 607,947

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Solution

The third proportional to 284,027 and 607,947 is: 1,301,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,027 : 607,947 = 607,947 : x
  2. Step 2: Convert to fraction form
    284,027/607,947 = 607,947/x
  3. Step 3: Cross multiply
    284,027x = 607,947 × 607,947
  4. Step 4: Simplify right side
    284,027x = 369,599,554,809
  5. Step 5: Solve for x
    x = 369,599,554,809/284,027
  6. Step 6: Final answer
    x = 1,301,283.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.