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Finding the Third Proportional to 326,182 and 459,335

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Solution

The third proportional to 326,182 and 459,335 is: 646,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,182 : 459,335 = 459,335 : x
  2. Step 2: Convert to fraction form
    326,182/459,335 = 459,335/x
  3. Step 3: Cross multiply
    326,182x = 459,335 × 459,335
  4. Step 4: Simplify right side
    326,182x = 210,988,642,225
  5. Step 5: Solve for x
    x = 210,988,642,225/326,182
  6. Step 6: Final answer
    x = 646,843.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.