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Finding the Third Proportional to 303,830 and 654,763

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Solution

The third proportional to 303,830 and 654,763 is: 1,411,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,830 : 654,763 = 654,763 : x
  2. Step 2: Convert to fraction form
    303,830/654,763 = 654,763/x
  3. Step 3: Cross multiply
    303,830x = 654,763 × 654,763
  4. Step 4: Simplify right side
    303,830x = 428,714,586,169
  5. Step 5: Solve for x
    x = 428,714,586,169/303,830
  6. Step 6: Final answer
    x = 1,411,034.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.