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Finding the Third Proportional to 353,272.50 and 545,784.75

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Solution

The third proportional to 353,272.50 and 545,784.75 is: 843,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,272.50 : 545,784.75 = 545,784.75 : x
  2. Step 2: Convert to fraction form
    353,272.50/545,784.75 = 545,784.75/x
  3. Step 3: Cross multiply
    353,272.50x = 545,784.75 × 545,784.75
  4. Step 4: Simplify right side
    353,272.50x = 297,880,993,332.56
  5. Step 5: Solve for x
    x = 297,880,993,332.56/353,272.50
  6. Step 6: Final answer
    x = 843,204.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.