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Finding the Third Proportional to 576,594 and 879,104

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Solution

The third proportional to 576,594 and 879,104 is: 1,340,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,594 : 879,104 = 879,104 : x
  2. Step 2: Convert to fraction form
    576,594/879,104 = 879,104/x
  3. Step 3: Cross multiply
    576,594x = 879,104 × 879,104
  4. Step 4: Simplify right side
    576,594x = 772,823,842,816
  5. Step 5: Solve for x
    x = 772,823,842,816/576,594
  6. Step 6: Final answer
    x = 1,340,325.85

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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.