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Finding the Third Proportional to 303,732 and 453,138

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Solution

The third proportional to 303,732 and 453,138 is: 676,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,732 : 453,138 = 453,138 : x
  2. Step 2: Convert to fraction form
    303,732/453,138 = 453,138/x
  3. Step 3: Cross multiply
    303,732x = 453,138 × 453,138
  4. Step 4: Simplify right side
    303,732x = 205,334,047,044
  5. Step 5: Solve for x
    x = 205,334,047,044/303,732
  6. Step 6: Final answer
    x = 676,036.92

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Why These Related Problems?

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