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Finding the Third Proportional to 303,640 and 453,786

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Solution

The third proportional to 303,640 and 453,786 is: 678,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,640 : 453,786 = 453,786 : x
  2. Step 2: Convert to fraction form
    303,640/453,786 = 453,786/x
  3. Step 3: Cross multiply
    303,640x = 453,786 × 453,786
  4. Step 4: Simplify right side
    303,640x = 205,921,733,796
  5. Step 5: Solve for x
    x = 205,921,733,796/303,640
  6. Step 6: Final answer
    x = 678,177.23

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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.