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Finding the Third Proportional to 338,233.50 and 535,179

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Solution

The third proportional to 338,233.50 and 535,179 is: 846,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,233.50 : 535,179 = 535,179 : x
  2. Step 2: Convert to fraction form
    338,233.50/535,179 = 535,179/x
  3. Step 3: Cross multiply
    338,233.50x = 535,179 × 535,179
  4. Step 4: Simplify right side
    338,233.50x = 286,416,562,041
  5. Step 5: Solve for x
    x = 286,416,562,041/338,233.50
  6. Step 6: Final answer
    x = 846,801.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.