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Finding the Third Proportional to 587,830.50 and 879,464.25

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Solution

The third proportional to 587,830.50 and 879,464.25 is: 1,315,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,830.50 : 879,464.25 = 879,464.25 : x
  2. Step 2: Convert to fraction form
    587,830.50/879,464.25 = 879,464.25/x
  3. Step 3: Cross multiply
    587,830.50x = 879,464.25 × 879,464.25
  4. Step 4: Simplify right side
    587,830.50x = 773,457,367,028.06
  5. Step 5: Solve for x
    x = 773,457,367,028.06/587,830.50
  6. Step 6: Final answer
    x = 1,315,782.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.