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Finding the Third Proportional to 427,924 and 598,236

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Solution

The third proportional to 427,924 and 598,236 is: 836,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,924 : 598,236 = 598,236 : x
  2. Step 2: Convert to fraction form
    427,924/598,236 = 598,236/x
  3. Step 3: Cross multiply
    427,924x = 598,236 × 598,236
  4. Step 4: Simplify right side
    427,924x = 357,886,311,696
  5. Step 5: Solve for x
    x = 357,886,311,696/427,924
  6. Step 6: Final answer
    x = 836,331.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.