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Finding the Third Proportional to 384,264 and 837,432

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Solution

The third proportional to 384,264 and 837,432 is: 1,825,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,264 : 837,432 = 837,432 : x
  2. Step 2: Convert to fraction form
    384,264/837,432 = 837,432/x
  3. Step 3: Cross multiply
    384,264x = 837,432 × 837,432
  4. Step 4: Simplify right side
    384,264x = 701,292,354,624
  5. Step 5: Solve for x
    x = 701,292,354,624/384,264
  6. Step 6: Final answer
    x = 1,825,027.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.