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Finding the Third Proportional to 234,796 and 507,878

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Solution

The third proportional to 234,796 and 507,878 is: 1,098,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,796 : 507,878 = 507,878 : x
  2. Step 2: Convert to fraction form
    234,796/507,878 = 507,878/x
  3. Step 3: Cross multiply
    234,796x = 507,878 × 507,878
  4. Step 4: Simplify right side
    234,796x = 257,940,062,884
  5. Step 5: Solve for x
    x = 257,940,062,884/234,796
  6. Step 6: Final answer
    x = 1,098,570.94

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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.