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Finding the Third Proportional to 580,441 and 879,440

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Solution

The third proportional to 580,441 and 879,440 is: 1,332,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,441 : 879,440 = 879,440 : x
  2. Step 2: Convert to fraction form
    580,441/879,440 = 879,440/x
  3. Step 3: Cross multiply
    580,441x = 879,440 × 879,440
  4. Step 4: Simplify right side
    580,441x = 773,414,713,600
  5. Step 5: Solve for x
    x = 773,414,713,600/580,441
  6. Step 6: Final answer
    x = 1,332,460.51

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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.