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Finding the Third Proportional to 267,658 and 594,365

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Solution

The third proportional to 267,658 and 594,365 is: 1,319,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,658 : 594,365 = 594,365 : x
  2. Step 2: Convert to fraction form
    267,658/594,365 = 594,365/x
  3. Step 3: Cross multiply
    267,658x = 594,365 × 594,365
  4. Step 4: Simplify right side
    267,658x = 353,269,753,225
  5. Step 5: Solve for x
    x = 353,269,753,225/267,658
  6. Step 6: Final answer
    x = 1,319,855.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.