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Finding the Third Proportional to 264,388 and 515,492

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Solution

The third proportional to 264,388 and 515,492 is: 1,005,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,388 : 515,492 = 515,492 : x
  2. Step 2: Convert to fraction form
    264,388/515,492 = 515,492/x
  3. Step 3: Cross multiply
    264,388x = 515,492 × 515,492
  4. Step 4: Simplify right side
    264,388x = 265,732,002,064
  5. Step 5: Solve for x
    x = 265,732,002,064/264,388
  6. Step 6: Final answer
    x = 1,005,083.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.