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Finding the Third Proportional to 194,294 and 424,606

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Solution

The third proportional to 194,294 and 424,606 is: 927,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294 : 424,606 = 424,606 : x
  2. Step 2: Convert to fraction form
    194,294/424,606 = 424,606/x
  3. Step 3: Cross multiply
    194,294x = 424,606 × 424,606
  4. Step 4: Simplify right side
    194,294x = 180,290,255,236
  5. Step 5: Solve for x
    x = 180,290,255,236/194,294
  6. Step 6: Final answer
    x = 927,924.98

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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.