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Finding the Third Proportional to 583,848 and 879,948

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Solution

The third proportional to 583,848 and 879,948 is: 1,326,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,848 : 879,948 = 879,948 : x
  2. Step 2: Convert to fraction form
    583,848/879,948 = 879,948/x
  3. Step 3: Cross multiply
    583,848x = 879,948 × 879,948
  4. Step 4: Simplify right side
    583,848x = 774,308,482,704
  5. Step 5: Solve for x
    x = 774,308,482,704/583,848
  6. Step 6: Final answer
    x = 1,326,215.87

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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.