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Finding the Third Proportional to 437,562 and 559,062

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Solution

The third proportional to 437,562 and 559,062 is: 714,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,562 : 559,062 = 559,062 : x
  2. Step 2: Convert to fraction form
    437,562/559,062 = 559,062/x
  3. Step 3: Cross multiply
    437,562x = 559,062 × 559,062
  4. Step 4: Simplify right side
    437,562x = 312,550,319,844
  5. Step 5: Solve for x
    x = 312,550,319,844/437,562
  6. Step 6: Final answer
    x = 714,299.50

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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.