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Finding the Third Proportional to 492,066 and 735,531

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Solution

The third proportional to 492,066 and 735,531 is: 1,099,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,066 : 735,531 = 735,531 : x
  2. Step 2: Convert to fraction form
    492,066/735,531 = 735,531/x
  3. Step 3: Cross multiply
    492,066x = 735,531 × 735,531
  4. Step 4: Simplify right side
    492,066x = 541,005,851,961
  5. Step 5: Solve for x
    x = 541,005,851,961/492,066
  6. Step 6: Final answer
    x = 1,099,457.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.