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Finding the Third Proportional to 492,175.50 and 771,066

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Solution

The third proportional to 492,175.50 and 771,066 is: 1,207,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,175.50 : 771,066 = 771,066 : x
  2. Step 2: Convert to fraction form
    492,175.50/771,066 = 771,066/x
  3. Step 3: Cross multiply
    492,175.50x = 771,066 × 771,066
  4. Step 4: Simplify right side
    492,175.50x = 594,542,776,356
  5. Step 5: Solve for x
    x = 594,542,776,356/492,175.50
  6. Step 6: Final answer
    x = 1,207,989.38

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