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Finding the Third Proportional to 415,084 and 622,628

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Solution

The third proportional to 415,084 and 622,628 is: 933,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,084 : 622,628 = 622,628 : x
  2. Step 2: Convert to fraction form
    415,084/622,628 = 622,628/x
  3. Step 3: Cross multiply
    415,084x = 622,628 × 622,628
  4. Step 4: Simplify right side
    415,084x = 387,665,626,384
  5. Step 5: Solve for x
    x = 387,665,626,384/415,084
  6. Step 6: Final answer
    x = 933,945.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.