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Finding the Third Proportional to 319,874 and 460,803

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Solution

The third proportional to 319,874 and 460,803 is: 663,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,874 : 460,803 = 460,803 : x
  2. Step 2: Convert to fraction form
    319,874/460,803 = 460,803/x
  3. Step 3: Cross multiply
    319,874x = 460,803 × 460,803
  4. Step 4: Simplify right side
    319,874x = 212,339,404,809
  5. Step 5: Solve for x
    x = 212,339,404,809/319,874
  6. Step 6: Final answer
    x = 663,822.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.