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Finding the Third Proportional to 194,330 and 424,658

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Solution

The third proportional to 194,330 and 424,658 is: 927,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,330 : 424,658 = 424,658 : x
  2. Step 2: Convert to fraction form
    194,330/424,658 = 424,658/x
  3. Step 3: Cross multiply
    194,330x = 424,658 × 424,658
  4. Step 4: Simplify right side
    194,330x = 180,334,416,964
  5. Step 5: Solve for x
    x = 180,334,416,964/194,330
  6. Step 6: Final answer
    x = 927,980.33

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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.