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Finding the Third Proportional to 319,909.50 and 740,601

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Solution

The third proportional to 319,909.50 and 740,601 is: 1,714,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,909.50 : 740,601 = 740,601 : x
  2. Step 2: Convert to fraction form
    319,909.50/740,601 = 740,601/x
  3. Step 3: Cross multiply
    319,909.50x = 740,601 × 740,601
  4. Step 4: Simplify right side
    319,909.50x = 548,489,841,201
  5. Step 5: Solve for x
    x = 548,489,841,201/319,909.50
  6. Step 6: Final answer
    x = 1,714,515.64

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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.