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Finding the Third Proportional to 540,488 and 836,955

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Solution

The third proportional to 540,488 and 836,955 is: 1,296,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,488 : 836,955 = 836,955 : x
  2. Step 2: Convert to fraction form
    540,488/836,955 = 836,955/x
  3. Step 3: Cross multiply
    540,488x = 836,955 × 836,955
  4. Step 4: Simplify right side
    540,488x = 700,493,672,025
  5. Step 5: Solve for x
    x = 700,493,672,025/540,488
  6. Step 6: Final answer
    x = 1,296,039.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.