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Finding the Third Proportional to 231,317 and 535,459.50

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Solution

The third proportional to 231,317 and 535,459.50 is: 1,239,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,317 : 535,459.50 = 535,459.50 : x
  2. Step 2: Convert to fraction form
    231,317/535,459.50 = 535,459.50/x
  3. Step 3: Cross multiply
    231,317x = 535,459.50 × 535,459.50
  4. Step 4: Simplify right side
    231,317x = 286,716,876,140.25
  5. Step 5: Solve for x
    x = 286,716,876,140.25/231,317
  6. Step 6: Final answer
    x = 1,239,497.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.