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Finding the Third Proportional to 306,316.69 and 593,770.50

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Solution

The third proportional to 306,316.69 and 593,770.50 is: 1,150,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.69 : 593,770.50 = 593,770.50 : x
  2. Step 2: Convert to fraction form
    306,316.69/593,770.50 = 593,770.50/x
  3. Step 3: Cross multiply
    306,316.69x = 593,770.50 × 593,770.50
  4. Step 4: Simplify right side
    306,316.69x = 352,563,406,670.25
  5. Step 5: Solve for x
    x = 352,563,406,670.25/306,316.69
  6. Step 6: Final answer
    x = 1,150,976.82

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.