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Finding the Third Proportional to 500,010 and 762,318

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Solution

The third proportional to 500,010 and 762,318 is: 1,162,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,010 : 762,318 = 762,318 : x
  2. Step 2: Convert to fraction form
    500,010/762,318 = 762,318/x
  3. Step 3: Cross multiply
    500,010x = 762,318 × 762,318
  4. Step 4: Simplify right side
    500,010x = 581,128,733,124
  5. Step 5: Solve for x
    x = 581,128,733,124/500,010
  6. Step 6: Final answer
    x = 1,162,234.22

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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.