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Finding the Third Proportional to 437,825.25 and 559,446.75

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Solution

The third proportional to 437,825.25 and 559,446.75 is: 714,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,825.25 : 559,446.75 = 559,446.75 : x
  2. Step 2: Convert to fraction form
    437,825.25/559,446.75 = 559,446.75/x
  3. Step 3: Cross multiply
    437,825.25x = 559,446.75 × 559,446.75
  4. Step 4: Simplify right side
    437,825.25x = 312,980,666,085.56
  5. Step 5: Solve for x
    x = 312,980,666,085.56/437,825.25
  6. Step 6: Final answer
    x = 714,852.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.