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Finding the Third Proportional to 303,904.50 and 661,323

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Solution

The third proportional to 303,904.50 and 661,323 is: 1,439,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,904.50 : 661,323 = 661,323 : x
  2. Step 2: Convert to fraction form
    303,904.50/661,323 = 661,323/x
  3. Step 3: Cross multiply
    303,904.50x = 661,323 × 661,323
  4. Step 4: Simplify right side
    303,904.50x = 437,348,110,329
  5. Step 5: Solve for x
    x = 437,348,110,329/303,904.50
  6. Step 6: Final answer
    x = 1,439,097.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.