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Finding the Third Proportional to 303,970.50 and 456,117.75

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Solution

The third proportional to 303,970.50 and 456,117.75 is: 684,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,970.50 : 456,117.75 = 456,117.75 : x
  2. Step 2: Convert to fraction form
    303,970.50/456,117.75 = 456,117.75/x
  3. Step 3: Cross multiply
    303,970.50x = 456,117.75 × 456,117.75
  4. Step 4: Simplify right side
    303,970.50x = 208,043,401,865.06
  5. Step 5: Solve for x
    x = 208,043,401,865.06/303,970.50
  6. Step 6: Final answer
    x = 684,419.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.