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Finding the Third Proportional to 326,153.25 and 518,875.88

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Solution

The third proportional to 326,153.25 and 518,875.88 is: 825,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,153.25 : 518,875.88 = 518,875.88 : x
  2. Step 2: Convert to fraction form
    326,153.25/518,875.88 = 518,875.88/x
  3. Step 3: Cross multiply
    326,153.25x = 518,875.88 × 518,875.88
  4. Step 4: Simplify right side
    326,153.25x = 269,232,173,657.02
  5. Step 5: Solve for x
    x = 269,232,173,657.02/326,153.25
  6. Step 6: Final answer
    x = 825,477.51

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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.