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Finding the Third Proportional to 583,850.50 and 879,952

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Solution

The third proportional to 583,850.50 and 879,952 is: 1,326,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,850.50 : 879,952 = 879,952 : x
  2. Step 2: Convert to fraction form
    583,850.50/879,952 = 879,952/x
  3. Step 3: Cross multiply
    583,850.50x = 879,952 × 879,952
  4. Step 4: Simplify right side
    583,850.50x = 774,315,522,304
  5. Step 5: Solve for x
    x = 774,315,522,304/583,850.50
  6. Step 6: Final answer
    x = 1,326,222.25

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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.