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Finding the Third Proportional to 284,265 and 618,641

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Solution

The third proportional to 284,265 and 618,641 is: 1,346,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,265 : 618,641 = 618,641 : x
  2. Step 2: Convert to fraction form
    284,265/618,641 = 618,641/x
  3. Step 3: Cross multiply
    284,265x = 618,641 × 618,641
  4. Step 4: Simplify right side
    284,265x = 382,716,686,881
  5. Step 5: Solve for x
    x = 382,716,686,881/284,265
  6. Step 6: Final answer
    x = 1,346,337.70

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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.