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Finding the Third Proportional to 298,174 and 596,102

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Solution

The third proportional to 298,174 and 596,102 is: 1,191,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,174 : 596,102 = 596,102 : x
  2. Step 2: Convert to fraction form
    298,174/596,102 = 596,102/x
  3. Step 3: Cross multiply
    298,174x = 596,102 × 596,102
  4. Step 4: Simplify right side
    298,174x = 355,337,594,404
  5. Step 5: Solve for x
    x = 355,337,594,404/298,174
  6. Step 6: Final answer
    x = 1,191,712.20

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.