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Finding the Third Proportional to 423,873 and 594,057

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Solution

The third proportional to 423,873 and 594,057 is: 832,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,873 : 594,057 = 594,057 : x
  2. Step 2: Convert to fraction form
    423,873/594,057 = 594,057/x
  3. Step 3: Cross multiply
    423,873x = 594,057 × 594,057
  4. Step 4: Simplify right side
    423,873x = 352,903,719,249
  5. Step 5: Solve for x
    x = 352,903,719,249/423,873
  6. Step 6: Final answer
    x = 832,569.47

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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.