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Finding the Third Proportional to 551,096.50 and 780,015

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Solution

The third proportional to 551,096.50 and 780,015 is: 1,104,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,096.50 : 780,015 = 780,015 : x
  2. Step 2: Convert to fraction form
    551,096.50/780,015 = 780,015/x
  3. Step 3: Cross multiply
    551,096.50x = 780,015 × 780,015
  4. Step 4: Simplify right side
    551,096.50x = 608,423,400,225
  5. Step 5: Solve for x
    x = 608,423,400,225/551,096.50
  6. Step 6: Final answer
    x = 1,104,023.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.