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Finding the Third Proportional to 340,186.50 and 738,333

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Solution

The third proportional to 340,186.50 and 738,333 is: 1,602,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,186.50 : 738,333 = 738,333 : x
  2. Step 2: Convert to fraction form
    340,186.50/738,333 = 738,333/x
  3. Step 3: Cross multiply
    340,186.50x = 738,333 × 738,333
  4. Step 4: Simplify right side
    340,186.50x = 545,135,618,889
  5. Step 5: Solve for x
    x = 545,135,618,889/340,186.50
  6. Step 6: Final answer
    x = 1,602,461.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.