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Finding the Third Proportional to 415,300.50 and 593,880.75

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Solution

The third proportional to 415,300.50 and 593,880.75 is: 849,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,300.50 : 593,880.75 = 593,880.75 : x
  2. Step 2: Convert to fraction form
    415,300.50/593,880.75 = 593,880.75/x
  3. Step 3: Cross multiply
    415,300.50x = 593,880.75 × 593,880.75
  4. Step 4: Simplify right side
    415,300.50x = 352,694,345,220.56
  5. Step 5: Solve for x
    x = 352,694,345,220.56/415,300.50
  6. Step 6: Final answer
    x = 849,250.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.