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Finding the Third Proportional to 326,967.75 and 730,480.50

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Solution

The third proportional to 326,967.75 and 730,480.50 is: 1,631,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,967.75 : 730,480.50 = 730,480.50 : x
  2. Step 2: Convert to fraction form
    326,967.75/730,480.50 = 730,480.50/x
  3. Step 3: Cross multiply
    326,967.75x = 730,480.50 × 730,480.50
  4. Step 4: Simplify right side
    326,967.75x = 533,601,760,880.25
  5. Step 5: Solve for x
    x = 533,601,760,880.25/326,967.75
  6. Step 6: Final answer
    x = 1,631,970.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.