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Finding the Third Proportional to 499,852.50 and 774,200.25

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Solution

The third proportional to 499,852.50 and 774,200.25 is: 1,199,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,852.50 : 774,200.25 = 774,200.25 : x
  2. Step 2: Convert to fraction form
    499,852.50/774,200.25 = 774,200.25/x
  3. Step 3: Cross multiply
    499,852.50x = 774,200.25 × 774,200.25
  4. Step 4: Simplify right side
    499,852.50x = 599,386,027,100.06
  5. Step 5: Solve for x
    x = 599,386,027,100.06/499,852.50
  6. Step 6: Final answer
    x = 1,199,125.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.