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Finding the Third Proportional to 576,580 and 879,086

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Solution

The third proportional to 576,580 and 879,086 is: 1,340,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,580 : 879,086 = 879,086 : x
  2. Step 2: Convert to fraction form
    576,580/879,086 = 879,086/x
  3. Step 3: Cross multiply
    576,580x = 879,086 × 879,086
  4. Step 4: Simplify right side
    576,580x = 772,792,195,396
  5. Step 5: Solve for x
    x = 772,792,195,396/576,580
  6. Step 6: Final answer
    x = 1,340,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.