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Finding the Third Proportional to 363,132 and 776,115

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Solution

The third proportional to 363,132 and 776,115 is: 1,658,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,132 : 776,115 = 776,115 : x
  2. Step 2: Convert to fraction form
    363,132/776,115 = 776,115/x
  3. Step 3: Cross multiply
    363,132x = 776,115 × 776,115
  4. Step 4: Simplify right side
    363,132x = 602,354,493,225
  5. Step 5: Solve for x
    x = 602,354,493,225/363,132
  6. Step 6: Final answer
    x = 1,658,775.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.