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Finding the Third Proportional to 341,234.50 and 738,430.50

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Solution

The third proportional to 341,234.50 and 738,430.50 is: 1,597,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,234.50 : 738,430.50 = 738,430.50 : x
  2. Step 2: Convert to fraction form
    341,234.50/738,430.50 = 738,430.50/x
  3. Step 3: Cross multiply
    341,234.50x = 738,430.50 × 738,430.50
  4. Step 4: Simplify right side
    341,234.50x = 545,279,603,330.25
  5. Step 5: Solve for x
    x = 545,279,603,330.25/341,234.50
  6. Step 6: Final answer
    x = 1,597,961.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.