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Finding the Third Proportional to 348,530.50 and 516,318

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Solution

The third proportional to 348,530.50 and 516,318 is: 764,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,530.50 : 516,318 = 516,318 : x
  2. Step 2: Convert to fraction form
    348,530.50/516,318 = 516,318/x
  3. Step 3: Cross multiply
    348,530.50x = 516,318 × 516,318
  4. Step 4: Simplify right side
    348,530.50x = 266,584,277,124
  5. Step 5: Solve for x
    x = 266,584,277,124/348,530.50
  6. Step 6: Final answer
    x = 764,880.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.