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Finding the Third Proportional to 236,808 and 507,392

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Solution

The third proportional to 236,808 and 507,392 is: 1,087,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,808 : 507,392 = 507,392 : x
  2. Step 2: Convert to fraction form
    236,808/507,392 = 507,392/x
  3. Step 3: Cross multiply
    236,808x = 507,392 × 507,392
  4. Step 4: Simplify right side
    236,808x = 257,446,641,664
  5. Step 5: Solve for x
    x = 257,446,641,664/236,808
  6. Step 6: Final answer
    x = 1,087,153.48

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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.