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Finding the Third Proportional to 278,158 and 600,664

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Solution

The third proportional to 278,158 and 600,664 is: 1,297,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,158 : 600,664 = 600,664 : x
  2. Step 2: Convert to fraction form
    278,158/600,664 = 600,664/x
  3. Step 3: Cross multiply
    278,158x = 600,664 × 600,664
  4. Step 4: Simplify right side
    278,158x = 360,797,240,896
  5. Step 5: Solve for x
    x = 360,797,240,896/278,158
  6. Step 6: Final answer
    x = 1,297,094.60

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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.