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Finding the Third Proportional to 553,448 and 835,255

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Solution

The third proportional to 553,448 and 835,255 is: 1,260,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,448 : 835,255 = 835,255 : x
  2. Step 2: Convert to fraction form
    553,448/835,255 = 835,255/x
  3. Step 3: Cross multiply
    553,448x = 835,255 × 835,255
  4. Step 4: Simplify right side
    553,448x = 697,650,915,025
  5. Step 5: Solve for x
    x = 697,650,915,025/553,448
  6. Step 6: Final answer
    x = 1,260,553.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.