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Finding the Third Proportional to 304,854 and 411,234

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Solution

The third proportional to 304,854 and 411,234 is: 554,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854 : 411,234 = 411,234 : x
  2. Step 2: Convert to fraction form
    304,854/411,234 = 411,234/x
  3. Step 3: Cross multiply
    304,854x = 411,234 × 411,234
  4. Step 4: Simplify right side
    304,854x = 169,113,402,756
  5. Step 5: Solve for x
    x = 169,113,402,756/304,854
  6. Step 6: Final answer
    x = 554,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.