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Finding the Third Proportional to 332,394.19 and 546,094.69

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Solution

The third proportional to 332,394.19 and 546,094.69 is: 897,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,394.19 : 546,094.69 = 546,094.69 : x
  2. Step 2: Convert to fraction form
    332,394.19/546,094.69 = 546,094.69/x
  3. Step 3: Cross multiply
    332,394.19x = 546,094.69 × 546,094.69
  4. Step 4: Simplify right side
    332,394.19x = 298,219,407,715.72
  5. Step 5: Solve for x
    x = 298,219,407,715.72/332,394.19
  6. Step 6: Final answer
    x = 897,185.99

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.