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Finding the Third Proportional to 679,552 and 950,464

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Solution

The third proportional to 679,552 and 950,464 is: 1,329,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,552 : 950,464 = 950,464 : x
  2. Step 2: Convert to fraction form
    679,552/950,464 = 950,464/x
  3. Step 3: Cross multiply
    679,552x = 950,464 × 950,464
  4. Step 4: Simplify right side
    679,552x = 903,381,815,296
  5. Step 5: Solve for x
    x = 903,381,815,296/679,552
  6. Step 6: Final answer
    x = 1,329,378.50

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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.