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Finding the Third Proportional to 554,478 and 835,659

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Solution

The third proportional to 554,478 and 835,659 is: 1,259,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,478 : 835,659 = 835,659 : x
  2. Step 2: Convert to fraction form
    554,478/835,659 = 835,659/x
  3. Step 3: Cross multiply
    554,478x = 835,659 × 835,659
  4. Step 4: Simplify right side
    554,478x = 698,325,964,281
  5. Step 5: Solve for x
    x = 698,325,964,281/554,478
  6. Step 6: Final answer
    x = 1,259,429.53

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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.