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Finding the Third Proportional to 279,186 and 581,970

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Solution

The third proportional to 279,186 and 581,970 is: 1,213,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,186 : 581,970 = 581,970 : x
  2. Step 2: Convert to fraction form
    279,186/581,970 = 581,970/x
  3. Step 3: Cross multiply
    279,186x = 581,970 × 581,970
  4. Step 4: Simplify right side
    279,186x = 338,689,080,900
  5. Step 5: Solve for x
    x = 338,689,080,900/279,186
  6. Step 6: Final answer
    x = 1,213,130.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.