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Finding the Third Proportional to 488,976 and 778,014

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Solution

The third proportional to 488,976 and 778,014 is: 1,237,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,976 : 778,014 = 778,014 : x
  2. Step 2: Convert to fraction form
    488,976/778,014 = 778,014/x
  3. Step 3: Cross multiply
    488,976x = 778,014 × 778,014
  4. Step 4: Simplify right side
    488,976x = 605,305,784,196
  5. Step 5: Solve for x
    x = 605,305,784,196/488,976
  6. Step 6: Final answer
    x = 1,237,904.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.