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Finding the Third Proportional to 576,584 and 879,091

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Solution

The third proportional to 576,584 and 879,091 is: 1,340,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,584 : 879,091 = 879,091 : x
  2. Step 2: Convert to fraction form
    576,584/879,091 = 879,091/x
  3. Step 3: Cross multiply
    576,584x = 879,091 × 879,091
  4. Step 4: Simplify right side
    576,584x = 772,800,986,281
  5. Step 5: Solve for x
    x = 772,800,986,281/576,584
  6. Step 6: Final answer
    x = 1,340,309.45

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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.