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Finding the Third Proportional to 354,846 and 765,972

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Solution

The third proportional to 354,846 and 765,972 is: 1,653,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,846 : 765,972 = 765,972 : x
  2. Step 2: Convert to fraction form
    354,846/765,972 = 765,972/x
  3. Step 3: Cross multiply
    354,846x = 765,972 × 765,972
  4. Step 4: Simplify right side
    354,846x = 586,713,104,784
  5. Step 5: Solve for x
    x = 586,713,104,784/354,846
  6. Step 6: Final answer
    x = 1,653,430.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.