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Finding the Third Proportional to 363,511 and 776,503

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Solution

The third proportional to 363,511 and 776,503 is: 1,658,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,511 : 776,503 = 776,503 : x
  2. Step 2: Convert to fraction form
    363,511/776,503 = 776,503/x
  3. Step 3: Cross multiply
    363,511x = 776,503 × 776,503
  4. Step 4: Simplify right side
    363,511x = 602,956,909,009
  5. Step 5: Solve for x
    x = 602,956,909,009/363,511
  6. Step 6: Final answer
    x = 1,658,703.34

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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.