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Finding the Third Proportional to 492,148 and 771,016

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Solution

The third proportional to 492,148 and 771,016 is: 1,207,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,148 : 771,016 = 771,016 : x
  2. Step 2: Convert to fraction form
    492,148/771,016 = 771,016/x
  3. Step 3: Cross multiply
    492,148x = 771,016 × 771,016
  4. Step 4: Simplify right side
    492,148x = 594,465,672,256
  5. Step 5: Solve for x
    x = 594,465,672,256/492,148
  6. Step 6: Final answer
    x = 1,207,900.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.