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Finding the Third Proportional to 270,014.50 and 583,341.50

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Solution

The third proportional to 270,014.50 and 583,341.50 is: 1,260,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,014.50 : 583,341.50 = 583,341.50 : x
  2. Step 2: Convert to fraction form
    270,014.50/583,341.50 = 583,341.50/x
  3. Step 3: Cross multiply
    270,014.50x = 583,341.50 × 583,341.50
  4. Step 4: Simplify right side
    270,014.50x = 340,287,305,622.25
  5. Step 5: Solve for x
    x = 340,287,305,622.25/270,014.50
  6. Step 6: Final answer
    x = 1,260,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.