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Finding the Third Proportional to 280,052 and 377,310

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Solution

The third proportional to 280,052 and 377,310 is: 508,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,052 : 377,310 = 377,310 : x
  2. Step 2: Convert to fraction form
    280,052/377,310 = 377,310/x
  3. Step 3: Cross multiply
    280,052x = 377,310 × 377,310
  4. Step 4: Simplify right side
    280,052x = 142,362,836,100
  5. Step 5: Solve for x
    x = 142,362,836,100/280,052
  6. Step 6: Final answer
    x = 508,344.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.