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Finding the Third Proportional to 326,580.75 and 480,262.50

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Solution

The third proportional to 326,580.75 and 480,262.50 is: 706,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,580.75 : 480,262.50 = 480,262.50 : x
  2. Step 2: Convert to fraction form
    326,580.75/480,262.50 = 480,262.50/x
  3. Step 3: Cross multiply
    326,580.75x = 480,262.50 × 480,262.50
  4. Step 4: Simplify right side
    326,580.75x = 230,652,068,906.25
  5. Step 5: Solve for x
    x = 230,652,068,906.25/326,580.75
  6. Step 6: Final answer
    x = 706,263.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.