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Finding the Third Proportional to 303,639 and 453,784.50

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Solution

The third proportional to 303,639 and 453,784.50 is: 678,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,639 : 453,784.50 = 453,784.50 : x
  2. Step 2: Convert to fraction form
    303,639/453,784.50 = 453,784.50/x
  3. Step 3: Cross multiply
    303,639x = 453,784.50 × 453,784.50
  4. Step 4: Simplify right side
    303,639x = 205,920,372,440.25
  5. Step 5: Solve for x
    x = 205,920,372,440.25/303,639
  6. Step 6: Final answer
    x = 678,174.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.