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Finding the Third Proportional to 328,101 and 469,183.50

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Solution

The third proportional to 328,101 and 469,183.50 is: 670,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,101 : 469,183.50 = 469,183.50 : x
  2. Step 2: Convert to fraction form
    328,101/469,183.50 = 469,183.50/x
  3. Step 3: Cross multiply
    328,101x = 469,183.50 × 469,183.50
  4. Step 4: Simplify right side
    328,101x = 220,133,156,672.25
  5. Step 5: Solve for x
    x = 220,133,156,672.25/328,101
  6. Step 6: Final answer
    x = 670,931.08

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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.