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Finding the Third Proportional to 260,366.50 and 390,550

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Solution

The third proportional to 260,366.50 and 390,550 is: 585,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,366.50 : 390,550 = 390,550 : x
  2. Step 2: Convert to fraction form
    260,366.50/390,550 = 390,550/x
  3. Step 3: Cross multiply
    260,366.50x = 390,550 × 390,550
  4. Step 4: Simplify right side
    260,366.50x = 152,529,302,500
  5. Step 5: Solve for x
    x = 152,529,302,500/260,366.50
  6. Step 6: Final answer
    x = 585,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.