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Finding the Third Proportional to 401,594 and 836,482

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Solution

The third proportional to 401,594 and 836,482 is: 1,742,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,594 : 836,482 = 836,482 : x
  2. Step 2: Convert to fraction form
    401,594/836,482 = 836,482/x
  3. Step 3: Cross multiply
    401,594x = 836,482 × 836,482
  4. Step 4: Simplify right side
    401,594x = 699,702,136,324
  5. Step 5: Solve for x
    x = 699,702,136,324/401,594
  6. Step 6: Final answer
    x = 1,742,312.23

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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.