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Finding the Third Proportional to 304,826 and 411,195

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Solution

The third proportional to 304,826 and 411,195 is: 554,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,826 : 411,195 = 411,195 : x
  2. Step 2: Convert to fraction form
    304,826/411,195 = 411,195/x
  3. Step 3: Cross multiply
    304,826x = 411,195 × 411,195
  4. Step 4: Simplify right side
    304,826x = 169,081,328,025
  5. Step 5: Solve for x
    x = 169,081,328,025/304,826
  6. Step 6: Final answer
    x = 554,681.45

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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.