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Finding the Third Proportional to 499,999 and 774,407.50

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Solution

The third proportional to 499,999 and 774,407.50 is: 1,199,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,999 : 774,407.50 = 774,407.50 : x
  2. Step 2: Convert to fraction form
    499,999/774,407.50 = 774,407.50/x
  3. Step 3: Cross multiply
    499,999x = 774,407.50 × 774,407.50
  4. Step 4: Simplify right side
    499,999x = 599,706,976,056.25
  5. Step 5: Solve for x
    x = 599,706,976,056.25/499,999
  6. Step 6: Final answer
    x = 1,199,416.35

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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.