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Finding the Third Proportional to 328,093 and 514,009

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Solution

The third proportional to 328,093 and 514,009 is: 805,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,093 : 514,009 = 514,009 : x
  2. Step 2: Convert to fraction form
    328,093/514,009 = 514,009/x
  3. Step 3: Cross multiply
    328,093x = 514,009 × 514,009
  4. Step 4: Simplify right side
    328,093x = 264,205,252,081
  5. Step 5: Solve for x
    x = 264,205,252,081/328,093
  6. Step 6: Final answer
    x = 805,275.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.