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Finding the Third Proportional to 423,873 and 594,145

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Solution

The third proportional to 423,873 and 594,145 is: 832,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,873 : 594,145 = 594,145 : x
  2. Step 2: Convert to fraction form
    423,873/594,145 = 594,145/x
  3. Step 3: Cross multiply
    423,873x = 594,145 × 594,145
  4. Step 4: Simplify right side
    423,873x = 353,008,281,025
  5. Step 5: Solve for x
    x = 353,008,281,025/423,873
  6. Step 6: Final answer
    x = 832,816.15

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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.