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Finding the Third Proportional to 328,096 and 469,176.50

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Solution

The third proportional to 328,096 and 469,176.50 is: 670,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,096 : 469,176.50 = 469,176.50 : x
  2. Step 2: Convert to fraction form
    328,096/469,176.50 = 469,176.50/x
  3. Step 3: Cross multiply
    328,096x = 469,176.50 × 469,176.50
  4. Step 4: Simplify right side
    328,096x = 220,126,588,152.25
  5. Step 5: Solve for x
    x = 220,126,588,152.25/328,096
  6. Step 6: Final answer
    x = 670,921.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.