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Finding the Third Proportional to 652,716.50 and 950,670.75

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Solution

The third proportional to 652,716.50 and 950,670.75 is: 1,384,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,716.50 : 950,670.75 = 950,670.75 : x
  2. Step 2: Convert to fraction form
    652,716.50/950,670.75 = 950,670.75/x
  3. Step 3: Cross multiply
    652,716.50x = 950,670.75 × 950,670.75
  4. Step 4: Simplify right side
    652,716.50x = 903,774,874,905.56
  5. Step 5: Solve for x
    x = 903,774,874,905.56/652,716.50
  6. Step 6: Final answer
    x = 1,384,636.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.