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Finding the Third Proportional to 319,926 and 740,646

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Solution

The third proportional to 319,926 and 740,646 is: 1,714,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,926 : 740,646 = 740,646 : x
  2. Step 2: Convert to fraction form
    319,926/740,646 = 740,646/x
  3. Step 3: Cross multiply
    319,926x = 740,646 × 740,646
  4. Step 4: Simplify right side
    319,926x = 548,556,497,316
  5. Step 5: Solve for x
    x = 548,556,497,316/319,926
  6. Step 6: Final answer
    x = 1,714,635.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.