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Finding the Third Proportional to 423,886 and 594,075

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Solution

The third proportional to 423,886 and 594,075 is: 832,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,886 : 594,075 = 594,075 : x
  2. Step 2: Convert to fraction form
    423,886/594,075 = 594,075/x
  3. Step 3: Cross multiply
    423,886x = 594,075 × 594,075
  4. Step 4: Simplify right side
    423,886x = 352,925,105,625
  5. Step 5: Solve for x
    x = 352,925,105,625/423,886
  6. Step 6: Final answer
    x = 832,594.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.