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Finding the Third Proportional to 554,806 and 835,400

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Solution

The third proportional to 554,806 and 835,400 is: 1,257,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,806 : 835,400 = 835,400 : x
  2. Step 2: Convert to fraction form
    554,806/835,400 = 835,400/x
  3. Step 3: Cross multiply
    554,806x = 835,400 × 835,400
  4. Step 4: Simplify right side
    554,806x = 697,893,160,000
  5. Step 5: Solve for x
    x = 697,893,160,000/554,806
  6. Step 6: Final answer
    x = 1,257,904.85

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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.