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Finding the Third Proportional to 326,199 and 459,363

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Solution

The third proportional to 326,199 and 459,363 is: 646,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,199 : 459,363 = 459,363 : x
  2. Step 2: Convert to fraction form
    326,199/459,363 = 459,363/x
  3. Step 3: Cross multiply
    326,199x = 459,363 × 459,363
  4. Step 4: Simplify right side
    326,199x = 211,014,365,769
  5. Step 5: Solve for x
    x = 211,014,365,769/326,199
  6. Step 6: Final answer
    x = 646,888.45

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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.