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Finding the Third Proportional to 232,385 and 507,412

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Solution

The third proportional to 232,385 and 507,412 is: 1,107,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,385 : 507,412 = 507,412 : x
  2. Step 2: Convert to fraction form
    232,385/507,412 = 507,412/x
  3. Step 3: Cross multiply
    232,385x = 507,412 × 507,412
  4. Step 4: Simplify right side
    232,385x = 257,466,937,744
  5. Step 5: Solve for x
    x = 257,466,937,744/232,385
  6. Step 6: Final answer
    x = 1,107,932.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.