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Finding the Third Proportional to 252,090 and 551,380.50

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Solution

The third proportional to 252,090 and 551,380.50 is: 1,205,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,090 : 551,380.50 = 551,380.50 : x
  2. Step 2: Convert to fraction form
    252,090/551,380.50 = 551,380.50/x
  3. Step 3: Cross multiply
    252,090x = 551,380.50 × 551,380.50
  4. Step 4: Simplify right side
    252,090x = 304,020,455,780.25
  5. Step 5: Solve for x
    x = 304,020,455,780.25/252,090
  6. Step 6: Final answer
    x = 1,205,999.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.