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Finding the Third Proportional to 234,796 and 507,110

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Solution

The third proportional to 234,796 and 507,110 is: 1,095,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,796 : 507,110 = 507,110 : x
  2. Step 2: Convert to fraction form
    234,796/507,110 = 507,110/x
  3. Step 3: Cross multiply
    234,796x = 507,110 × 507,110
  4. Step 4: Simplify right side
    234,796x = 257,160,552,100
  5. Step 5: Solve for x
    x = 257,160,552,100/234,796
  6. Step 6: Final answer
    x = 1,095,250.99

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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.