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Finding the Third Proportional to 291,400 and 634,074

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Solution

The third proportional to 291,400 and 634,074 is: 1,379,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,400 : 634,074 = 634,074 : x
  2. Step 2: Convert to fraction form
    291,400/634,074 = 634,074/x
  3. Step 3: Cross multiply
    291,400x = 634,074 × 634,074
  4. Step 4: Simplify right side
    291,400x = 402,049,837,476
  5. Step 5: Solve for x
    x = 402,049,837,476/291,400
  6. Step 6: Final answer
    x = 1,379,718.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.