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Finding the Third Proportional to 326,254.50 and 459,445.50

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Solution

The third proportional to 326,254.50 and 459,445.50 is: 647,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,254.50 : 459,445.50 = 459,445.50 : x
  2. Step 2: Convert to fraction form
    326,254.50/459,445.50 = 459,445.50/x
  3. Step 3: Cross multiply
    326,254.50x = 459,445.50 × 459,445.50
  4. Step 4: Simplify right side
    326,254.50x = 211,090,167,470.25
  5. Step 5: Solve for x
    x = 211,090,167,470.25/326,254.50
  6. Step 6: Final answer
    x = 647,010.75

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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.