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Finding the Third Proportional to 319,897 and 684,074

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Solution

The third proportional to 319,897 and 684,074 is: 1,462,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,897 : 684,074 = 684,074 : x
  2. Step 2: Convert to fraction form
    319,897/684,074 = 684,074/x
  3. Step 3: Cross multiply
    319,897x = 684,074 × 684,074
  4. Step 4: Simplify right side
    319,897x = 467,957,237,476
  5. Step 5: Solve for x
    x = 467,957,237,476/319,897
  6. Step 6: Final answer
    x = 1,462,837.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.