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Finding the Third Proportional to 325,665 and 708,678

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Solution

The third proportional to 325,665 and 708,678 is: 1,542,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,665 : 708,678 = 708,678 : x
  2. Step 2: Convert to fraction form
    325,665/708,678 = 708,678/x
  3. Step 3: Cross multiply
    325,665x = 708,678 × 708,678
  4. Step 4: Simplify right side
    325,665x = 502,224,507,684
  5. Step 5: Solve for x
    x = 502,224,507,684/325,665
  6. Step 6: Final answer
    x = 1,542,150.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.