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Finding the Third Proportional to 354,564 and 765,963

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Solution

The third proportional to 354,564 and 765,963 is: 1,654,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,564 : 765,963 = 765,963 : x
  2. Step 2: Convert to fraction form
    354,564/765,963 = 765,963/x
  3. Step 3: Cross multiply
    354,564x = 765,963 × 765,963
  4. Step 4: Simplify right side
    354,564x = 586,699,317,369
  5. Step 5: Solve for x
    x = 586,699,317,369/354,564
  6. Step 6: Final answer
    x = 1,654,706.39

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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.