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Finding the Third Proportional to 284,854.50 and 622,641

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Solution

The third proportional to 284,854.50 and 622,641 is: 1,360,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,854.50 : 622,641 = 622,641 : x
  2. Step 2: Convert to fraction form
    284,854.50/622,641 = 622,641/x
  3. Step 3: Cross multiply
    284,854.50x = 622,641 × 622,641
  4. Step 4: Simplify right side
    284,854.50x = 387,681,814,881
  5. Step 5: Solve for x
    x = 387,681,814,881/284,854.50
  6. Step 6: Final answer
    x = 1,360,981.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.