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Finding the Third Proportional to 231,705 and 507,696

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Solution

The third proportional to 231,705 and 507,696 is: 1,112,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,705 : 507,696 = 507,696 : x
  2. Step 2: Convert to fraction form
    231,705/507,696 = 507,696/x
  3. Step 3: Cross multiply
    231,705x = 507,696 × 507,696
  4. Step 4: Simplify right side
    231,705x = 257,755,228,416
  5. Step 5: Solve for x
    x = 257,755,228,416/231,705
  6. Step 6: Final answer
    x = 1,112,428.43

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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.