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Finding the Third Proportional to 500,013 and 762,321

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Solution

The third proportional to 500,013 and 762,321 is: 1,162,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,013 : 762,321 = 762,321 : x
  2. Step 2: Convert to fraction form
    500,013/762,321 = 762,321/x
  3. Step 3: Cross multiply
    500,013x = 762,321 × 762,321
  4. Step 4: Simplify right side
    500,013x = 581,133,307,041
  5. Step 5: Solve for x
    x = 581,133,307,041/500,013
  6. Step 6: Final answer
    x = 1,162,236.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.