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Finding the Third Proportional to 382,047.75 and 559,534.50

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Solution

The third proportional to 382,047.75 and 559,534.50 is: 819,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,047.75 : 559,534.50 = 559,534.50 : x
  2. Step 2: Convert to fraction form
    382,047.75/559,534.50 = 559,534.50/x
  3. Step 3: Cross multiply
    382,047.75x = 559,534.50 × 559,534.50
  4. Step 4: Simplify right side
    382,047.75x = 313,078,856,690.25
  5. Step 5: Solve for x
    x = 313,078,856,690.25/382,047.75
  6. Step 6: Final answer
    x = 819,475.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.