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Finding the Third Proportional to 357,444 and 769,806

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Solution

The third proportional to 357,444 and 769,806 is: 1,657,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,444 : 769,806 = 769,806 : x
  2. Step 2: Convert to fraction form
    357,444/769,806 = 769,806/x
  3. Step 3: Cross multiply
    357,444x = 769,806 × 769,806
  4. Step 4: Simplify right side
    357,444x = 592,601,277,636
  5. Step 5: Solve for x
    x = 592,601,277,636/357,444
  6. Step 6: Final answer
    x = 1,657,885.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.