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Finding the Third Proportional to 284,051 and 618,947

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Solution

The third proportional to 284,051 and 618,947 is: 1,348,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051 : 618,947 = 618,947 : x
  2. Step 2: Convert to fraction form
    284,051/618,947 = 618,947/x
  3. Step 3: Cross multiply
    284,051x = 618,947 × 618,947
  4. Step 4: Simplify right side
    284,051x = 383,095,388,809
  5. Step 5: Solve for x
    x = 383,095,388,809/284,051
  6. Step 6: Final answer
    x = 1,348,685.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.