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Finding the Third Proportional to 679,556 and 950,470

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Solution

The third proportional to 679,556 and 950,470 is: 1,329,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,556 : 950,470 = 950,470 : x
  2. Step 2: Convert to fraction form
    679,556/950,470 = 950,470/x
  3. Step 3: Cross multiply
    679,556x = 950,470 × 950,470
  4. Step 4: Simplify right side
    679,556x = 903,393,220,900
  5. Step 5: Solve for x
    x = 903,393,220,900/679,556
  6. Step 6: Final answer
    x = 1,329,387.45

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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.