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Finding the Third Proportional to 392,040 and 858,782.25

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Solution

The third proportional to 392,040 and 858,782.25 is: 1,881,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,040 : 858,782.25 = 858,782.25 : x
  2. Step 2: Convert to fraction form
    392,040/858,782.25 = 858,782.25/x
  3. Step 3: Cross multiply
    392,040x = 858,782.25 × 858,782.25
  4. Step 4: Simplify right side
    392,040x = 737,506,952,915.06
  5. Step 5: Solve for x
    x = 737,506,952,915.06/392,040
  6. Step 6: Final answer
    x = 1,881,203.33

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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.