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Finding the Third Proportional to 356,541.75 and 545,960.25

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Solution

The third proportional to 356,541.75 and 545,960.25 is: 836,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,541.75 : 545,960.25 = 545,960.25 : x
  2. Step 2: Convert to fraction form
    356,541.75/545,960.25 = 545,960.25/x
  3. Step 3: Cross multiply
    356,541.75x = 545,960.25 × 545,960.25
  4. Step 4: Simplify right side
    356,541.75x = 298,072,594,580.06
  5. Step 5: Solve for x
    x = 298,072,594,580.06/356,541.75
  6. Step 6: Final answer
    x = 836,010.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.