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Finding the Third Proportional to 679,532 and 950,535

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Solution

The third proportional to 679,532 and 950,535 is: 1,329,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,532 : 950,535 = 950,535 : x
  2. Step 2: Convert to fraction form
    679,532/950,535 = 950,535/x
  3. Step 3: Cross multiply
    679,532x = 950,535 × 950,535
  4. Step 4: Simplify right side
    679,532x = 903,516,786,225
  5. Step 5: Solve for x
    x = 903,516,786,225/679,532
  6. Step 6: Final answer
    x = 1,329,616.25

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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.