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Finding the Third Proportional to 303,628 and 453,746

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Solution

The third proportional to 303,628 and 453,746 is: 678,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,628 : 453,746 = 453,746 : x
  2. Step 2: Convert to fraction form
    303,628/453,746 = 453,746/x
  3. Step 3: Cross multiply
    303,628x = 453,746 × 453,746
  4. Step 4: Simplify right side
    303,628x = 205,885,432,516
  5. Step 5: Solve for x
    x = 205,885,432,516/303,628
  6. Step 6: Final answer
    x = 678,084.47

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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.