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Finding the Third Proportional to 339,017.06 and 512,897.06

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Solution

The third proportional to 339,017.06 and 512,897.06 is: 775,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,017.06 : 512,897.06 = 512,897.06 : x
  2. Step 2: Convert to fraction form
    339,017.06/512,897.06 = 512,897.06/x
  3. Step 3: Cross multiply
    339,017.06x = 512,897.06 × 512,897.06
  4. Step 4: Simplify right side
    339,017.06x = 263,063,396,721.13
  5. Step 5: Solve for x
    x = 263,063,396,721.13/339,017.06
  6. Step 6: Final answer
    x = 775,959.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.