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Finding the Third Proportional to 488,250 and 776,935

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Solution

The third proportional to 488,250 and 776,935 is: 1,236,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,250 : 776,935 = 776,935 : x
  2. Step 2: Convert to fraction form
    488,250/776,935 = 776,935/x
  3. Step 3: Cross multiply
    488,250x = 776,935 × 776,935
  4. Step 4: Simplify right side
    488,250x = 603,627,994,225
  5. Step 5: Solve for x
    x = 603,627,994,225/488,250
  6. Step 6: Final answer
    x = 1,236,309.26

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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.