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Finding the Third Proportional to 236,770 and 507,236

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Solution

The third proportional to 236,770 and 507,236 is: 1,086,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,770 : 507,236 = 507,236 : x
  2. Step 2: Convert to fraction form
    236,770/507,236 = 507,236/x
  3. Step 3: Cross multiply
    236,770x = 507,236 × 507,236
  4. Step 4: Simplify right side
    236,770x = 257,288,359,696
  5. Step 5: Solve for x
    x = 257,288,359,696/236,770
  6. Step 6: Final answer
    x = 1,086,659.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.