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Finding the Third Proportional to 401,566.50 and 836,406

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Solution

The third proportional to 401,566.50 and 836,406 is: 1,742,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,566.50 : 836,406 = 836,406 : x
  2. Step 2: Convert to fraction form
    401,566.50/836,406 = 836,406/x
  3. Step 3: Cross multiply
    401,566.50x = 836,406 × 836,406
  4. Step 4: Simplify right side
    401,566.50x = 699,574,996,836
  5. Step 5: Solve for x
    x = 699,574,996,836/401,566.50
  6. Step 6: Final answer
    x = 1,742,114.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.