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Finding the Third Proportional to 764,113.50 and 1,178,246.25

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Solution

The third proportional to 764,113.50 and 1,178,246.25 is: 1,816,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,113.50 : 1,178,246.25 = 1,178,246.25 : x
  2. Step 2: Convert to fraction form
    764,113.50/1,178,246.25 = 1,178,246.25/x
  3. Step 3: Cross multiply
    764,113.50x = 1,178,246.25 × 1,178,246.25
  4. Step 4: Simplify right side
    764,113.50x = 1,388,264,225,639.06
  5. Step 5: Solve for x
    x = 1,388,264,225,639.06/764,113.50
  6. Step 6: Final answer
    x = 1,816,829.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.