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Finding the Third Proportional to 286,899 and 630,414

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Solution

The third proportional to 286,899 and 630,414 is: 1,385,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,899 : 630,414 = 630,414 : x
  2. Step 2: Convert to fraction form
    286,899/630,414 = 630,414/x
  3. Step 3: Cross multiply
    286,899x = 630,414 × 630,414
  4. Step 4: Simplify right side
    286,899x = 397,421,811,396
  5. Step 5: Solve for x
    x = 397,421,811,396/286,899
  6. Step 6: Final answer
    x = 1,385,232.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.