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Finding the Third Proportional to 233,847 and 364,459.50

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Solution

The third proportional to 233,847 and 364,459.50 is: 568,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,847 : 364,459.50 = 364,459.50 : x
  2. Step 2: Convert to fraction form
    233,847/364,459.50 = 364,459.50/x
  3. Step 3: Cross multiply
    233,847x = 364,459.50 × 364,459.50
  4. Step 4: Simplify right side
    233,847x = 132,830,727,140.25
  5. Step 5: Solve for x
    x = 132,830,727,140.25/233,847
  6. Step 6: Final answer
    x = 568,024.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.