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Finding the Third Proportional to 293,796 and 634,236

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Solution

The third proportional to 293,796 and 634,236 is: 1,369,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,796 : 634,236 = 634,236 : x
  2. Step 2: Convert to fraction form
    293,796/634,236 = 634,236/x
  3. Step 3: Cross multiply
    293,796x = 634,236 × 634,236
  4. Step 4: Simplify right side
    293,796x = 402,255,303,696
  5. Step 5: Solve for x
    x = 402,255,303,696/293,796
  6. Step 6: Final answer
    x = 1,369,165.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.