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Finding the Third Proportional to 401,594 and 836,480

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Solution

The third proportional to 401,594 and 836,480 is: 1,742,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,594 : 836,480 = 836,480 : x
  2. Step 2: Convert to fraction form
    401,594/836,480 = 836,480/x
  3. Step 3: Cross multiply
    401,594x = 836,480 × 836,480
  4. Step 4: Simplify right side
    401,594x = 699,698,790,400
  5. Step 5: Solve for x
    x = 699,698,790,400/401,594
  6. Step 6: Final answer
    x = 1,742,303.89

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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.