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Finding the Third Proportional to 569,876 and 879,488

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Solution

The third proportional to 569,876 and 879,488 is: 1,357,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,876 : 879,488 = 879,488 : x
  2. Step 2: Convert to fraction form
    569,876/879,488 = 879,488/x
  3. Step 3: Cross multiply
    569,876x = 879,488 × 879,488
  4. Step 4: Simplify right side
    569,876x = 773,499,142,144
  5. Step 5: Solve for x
    x = 773,499,142,144/569,876
  6. Step 6: Final answer
    x = 1,357,311.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.