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Finding the Third Proportional to 326,160 and 518,886

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Solution

The third proportional to 326,160 and 518,886 is: 825,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,160 : 518,886 = 518,886 : x
  2. Step 2: Convert to fraction form
    326,160/518,886 = 518,886/x
  3. Step 3: Cross multiply
    326,160x = 518,886 × 518,886
  4. Step 4: Simplify right side
    326,160x = 269,242,680,996
  5. Step 5: Solve for x
    x = 269,242,680,996/326,160
  6. Step 6: Final answer
    x = 825,492.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.