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Finding the Third Proportional to 232,926 and 518,346

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Solution

The third proportional to 232,926 and 518,346 is: 1,153,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,926 : 518,346 = 518,346 : x
  2. Step 2: Convert to fraction form
    232,926/518,346 = 518,346/x
  3. Step 3: Cross multiply
    232,926x = 518,346 × 518,346
  4. Step 4: Simplify right side
    232,926x = 268,682,575,716
  5. Step 5: Solve for x
    x = 268,682,575,716/232,926
  6. Step 6: Final answer
    x = 1,153,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.