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Finding the Third Proportional to 492,168 and 771,057

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Solution

The third proportional to 492,168 and 771,057 is: 1,207,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,168 : 771,057 = 771,057 : x
  2. Step 2: Convert to fraction form
    492,168/771,057 = 771,057/x
  3. Step 3: Cross multiply
    492,168x = 771,057 × 771,057
  4. Step 4: Simplify right side
    492,168x = 594,528,897,249
  5. Step 5: Solve for x
    x = 594,528,897,249/492,168
  6. Step 6: Final answer
    x = 1,207,979.59

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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.