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Finding the Third Proportional to 583,858 and 879,962

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Solution

The third proportional to 583,858 and 879,962 is: 1,326,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,858 : 879,962 = 879,962 : x
  2. Step 2: Convert to fraction form
    583,858/879,962 = 879,962/x
  3. Step 3: Cross multiply
    583,858x = 879,962 × 879,962
  4. Step 4: Simplify right side
    583,858x = 774,333,121,444
  5. Step 5: Solve for x
    x = 774,333,121,444/583,858
  6. Step 6: Final answer
    x = 1,326,235.35

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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.