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Finding the Third Proportional to 583,854 and 879,956

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Solution

The third proportional to 583,854 and 879,956 is: 1,326,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,854 : 879,956 = 879,956 : x
  2. Step 2: Convert to fraction form
    583,854/879,956 = 879,956/x
  3. Step 3: Cross multiply
    583,854x = 879,956 × 879,956
  4. Step 4: Simplify right side
    583,854x = 774,322,561,936
  5. Step 5: Solve for x
    x = 774,322,561,936/583,854
  6. Step 6: Final answer
    x = 1,326,226.35

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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.