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Finding the Third Proportional to 274,818 and 594,106

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Solution

The third proportional to 274,818 and 594,106 is: 1,284,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,818 : 594,106 = 594,106 : x
  2. Step 2: Convert to fraction form
    274,818/594,106 = 594,106/x
  3. Step 3: Cross multiply
    274,818x = 594,106 × 594,106
  4. Step 4: Simplify right side
    274,818x = 352,961,939,236
  5. Step 5: Solve for x
    x = 352,961,939,236/274,818
  6. Step 6: Final answer
    x = 1,284,347.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.