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Finding the Third Proportional to 567,412 and 879,774

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Solution

The third proportional to 567,412 and 879,774 is: 1,364,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,412 : 879,774 = 879,774 : x
  2. Step 2: Convert to fraction form
    567,412/879,774 = 879,774/x
  3. Step 3: Cross multiply
    567,412x = 879,774 × 879,774
  4. Step 4: Simplify right side
    567,412x = 774,002,291,076
  5. Step 5: Solve for x
    x = 774,002,291,076/567,412
  6. Step 6: Final answer
    x = 1,364,092.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.