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Finding the Third Proportional to 423,868 and 594,090

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Solution

The third proportional to 423,868 and 594,090 is: 832,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,868 : 594,090 = 594,090 : x
  2. Step 2: Convert to fraction form
    423,868/594,090 = 594,090/x
  3. Step 3: Cross multiply
    423,868x = 594,090 × 594,090
  4. Step 4: Simplify right side
    423,868x = 352,942,928,100
  5. Step 5: Solve for x
    x = 352,942,928,100/423,868
  6. Step 6: Final answer
    x = 832,671.79

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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.