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Finding the Third Proportional to 336,008.25 and 731,072.25

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Solution

The third proportional to 336,008.25 and 731,072.25 is: 1,590,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,008.25 : 731,072.25 = 731,072.25 : x
  2. Step 2: Convert to fraction form
    336,008.25/731,072.25 = 731,072.25/x
  3. Step 3: Cross multiply
    336,008.25x = 731,072.25 × 731,072.25
  4. Step 4: Simplify right side
    336,008.25x = 534,466,634,720.06
  5. Step 5: Solve for x
    x = 534,466,634,720.06/336,008.25
  6. Step 6: Final answer
    x = 1,590,635.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.