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Finding the Third Proportional to 357,921 and 771,885

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Solution

The third proportional to 357,921 and 771,885 is: 1,664,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,921 : 771,885 = 771,885 : x
  2. Step 2: Convert to fraction form
    357,921/771,885 = 771,885/x
  3. Step 3: Cross multiply
    357,921x = 771,885 × 771,885
  4. Step 4: Simplify right side
    357,921x = 595,806,453,225
  5. Step 5: Solve for x
    x = 595,806,453,225/357,921
  6. Step 6: Final answer
    x = 1,664,631.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.