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Finding the Third Proportional to 605,762 and 950,318

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Solution

The third proportional to 605,762 and 950,318 is: 1,490,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,762 : 950,318 = 950,318 : x
  2. Step 2: Convert to fraction form
    605,762/950,318 = 950,318/x
  3. Step 3: Cross multiply
    605,762x = 950,318 × 950,318
  4. Step 4: Simplify right side
    605,762x = 903,104,301,124
  5. Step 5: Solve for x
    x = 903,104,301,124/605,762
  6. Step 6: Final answer
    x = 1,490,856.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.