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Finding the Third Proportional to 423,866 and 594,135

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Solution

The third proportional to 423,866 and 594,135 is: 832,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,866 : 594,135 = 594,135 : x
  2. Step 2: Convert to fraction form
    423,866/594,135 = 594,135/x
  3. Step 3: Cross multiply
    423,866x = 594,135 × 594,135
  4. Step 4: Simplify right side
    423,866x = 352,996,398,225
  5. Step 5: Solve for x
    x = 352,996,398,225/423,866
  6. Step 6: Final answer
    x = 832,801.87

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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.