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Finding the Third Proportional to 254,352 and 548,070

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Solution

The third proportional to 254,352 and 548,070 is: 1,180,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,352 : 548,070 = 548,070 : x
  2. Step 2: Convert to fraction form
    254,352/548,070 = 548,070/x
  3. Step 3: Cross multiply
    254,352x = 548,070 × 548,070
  4. Step 4: Simplify right side
    254,352x = 300,380,724,900
  5. Step 5: Solve for x
    x = 300,380,724,900/254,352
  6. Step 6: Final answer
    x = 1,180,964.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.