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Finding the Third Proportional to 321,701.63 and 635,328.56

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Solution

The third proportional to 321,701.63 and 635,328.56 is: 1,254,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,701.63 : 635,328.56 = 635,328.56 : x
  2. Step 2: Convert to fraction form
    321,701.63/635,328.56 = 635,328.56/x
  3. Step 3: Cross multiply
    321,701.63x = 635,328.56 × 635,328.56
  4. Step 4: Simplify right side
    321,701.63x = 403,642,382,328.32
  5. Step 5: Solve for x
    x = 403,642,382,328.32/321,701.63
  6. Step 6: Final answer
    x = 1,254,710.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.