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Finding the Third Proportional to 357,645 and 773,367

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Solution

The third proportional to 357,645 and 773,367 is: 1,672,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,645 : 773,367 = 773,367 : x
  2. Step 2: Convert to fraction form
    357,645/773,367 = 773,367/x
  3. Step 3: Cross multiply
    357,645x = 773,367 × 773,367
  4. Step 4: Simplify right side
    357,645x = 598,096,516,689
  5. Step 5: Solve for x
    x = 598,096,516,689/357,645
  6. Step 6: Final answer
    x = 1,672,318.97

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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.