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Finding the Third Proportional to 679,616 and 950,784

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Solution

The third proportional to 679,616 and 950,784 is: 1,330,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,616 : 950,784 = 950,784 : x
  2. Step 2: Convert to fraction form
    679,616/950,784 = 950,784/x
  3. Step 3: Cross multiply
    679,616x = 950,784 × 950,784
  4. Step 4: Simplify right side
    679,616x = 903,990,214,656
  5. Step 5: Solve for x
    x = 903,990,214,656/679,616
  6. Step 6: Final answer
    x = 1,330,148.52

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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.