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Finding the Third Proportional to 536,468 and 751,969.50

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Solution

The third proportional to 536,468 and 751,969.50 is: 1,054,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,468 : 751,969.50 = 751,969.50 : x
  2. Step 2: Convert to fraction form
    536,468/751,969.50 = 751,969.50/x
  3. Step 3: Cross multiply
    536,468x = 751,969.50 × 751,969.50
  4. Step 4: Simplify right side
    536,468x = 565,458,128,930.25
  5. Step 5: Solve for x
    x = 565,458,128,930.25/536,468
  6. Step 6: Final answer
    x = 1,054,038.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.