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Finding the Third Proportional to 286,642 and 596,811

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Solution

The third proportional to 286,642 and 596,811 is: 1,242,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,642 : 596,811 = 596,811 : x
  2. Step 2: Convert to fraction form
    286,642/596,811 = 596,811/x
  3. Step 3: Cross multiply
    286,642x = 596,811 × 596,811
  4. Step 4: Simplify right side
    286,642x = 356,183,369,721
  5. Step 5: Solve for x
    x = 356,183,369,721/286,642
  6. Step 6: Final answer
    x = 1,242,607.05

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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.