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Finding the Third Proportional to 194,319 and 424,638

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Solution

The third proportional to 194,319 and 424,638 is: 927,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,319 : 424,638 = 424,638 : x
  2. Step 2: Convert to fraction form
    194,319/424,638 = 424,638/x
  3. Step 3: Cross multiply
    194,319x = 424,638 × 424,638
  4. Step 4: Simplify right side
    194,319x = 180,317,431,044
  5. Step 5: Solve for x
    x = 180,317,431,044/194,319
  6. Step 6: Final answer
    x = 927,945.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.