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Finding the Third Proportional to 236,815 and 507,406

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Solution

The third proportional to 236,815 and 507,406 is: 1,087,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,815 : 507,406 = 507,406 : x
  2. Step 2: Convert to fraction form
    236,815/507,406 = 507,406/x
  3. Step 3: Cross multiply
    236,815x = 507,406 × 507,406
  4. Step 4: Simplify right side
    236,815x = 257,460,848,836
  5. Step 5: Solve for x
    x = 257,460,848,836/236,815
  6. Step 6: Final answer
    x = 1,087,181.34

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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.