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Finding the Third Proportional to 264,500 and 385,426

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Solution

The third proportional to 264,500 and 385,426 is: 561,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,500 : 385,426 = 385,426 : x
  2. Step 2: Convert to fraction form
    264,500/385,426 = 385,426/x
  3. Step 3: Cross multiply
    264,500x = 385,426 × 385,426
  4. Step 4: Simplify right side
    264,500x = 148,553,201,476
  5. Step 5: Solve for x
    x = 148,553,201,476/264,500
  6. Step 6: Final answer
    x = 561,637.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.