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Finding the Third Proportional to 304,830 and 411,201

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Solution

The third proportional to 304,830 and 411,201 is: 554,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,830 : 411,201 = 411,201 : x
  2. Step 2: Convert to fraction form
    304,830/411,201 = 411,201/x
  3. Step 3: Cross multiply
    304,830x = 411,201 × 411,201
  4. Step 4: Simplify right side
    304,830x = 169,086,262,401
  5. Step 5: Solve for x
    x = 169,086,262,401/304,830
  6. Step 6: Final answer
    x = 554,690.36

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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.