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Finding the Third Proportional to 463,270.50 and 690,858

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Solution

The third proportional to 463,270.50 and 690,858 is: 1,030,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,270.50 : 690,858 = 690,858 : x
  2. Step 2: Convert to fraction form
    463,270.50/690,858 = 690,858/x
  3. Step 3: Cross multiply
    463,270.50x = 690,858 × 690,858
  4. Step 4: Simplify right side
    463,270.50x = 477,284,776,164
  5. Step 5: Solve for x
    x = 477,284,776,164/463,270.50
  6. Step 6: Final answer
    x = 1,030,250.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.