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Finding the Third Proportional to 679,688 and 950,652

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Solution

The third proportional to 679,688 and 950,652 is: 1,329,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,688 : 950,652 = 950,652 : x
  2. Step 2: Convert to fraction form
    679,688/950,652 = 950,652/x
  3. Step 3: Cross multiply
    679,688x = 950,652 × 950,652
  4. Step 4: Simplify right side
    679,688x = 903,739,225,104
  5. Step 5: Solve for x
    x = 903,739,225,104/679,688
  6. Step 6: Final answer
    x = 1,329,638.34

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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.