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Finding the Third Proportional to 245,484 and 360,450

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Solution

The third proportional to 245,484 and 360,450 is: 529,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,484 : 360,450 = 360,450 : x
  2. Step 2: Convert to fraction form
    245,484/360,450 = 360,450/x
  3. Step 3: Cross multiply
    245,484x = 360,450 × 360,450
  4. Step 4: Simplify right side
    245,484x = 129,924,202,500
  5. Step 5: Solve for x
    x = 129,924,202,500/245,484
  6. Step 6: Final answer
    x = 529,257.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.