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Finding the Third Proportional to 208,752 and 492,384

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Solution

The third proportional to 208,752 and 492,384 is: 1,161,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,752 : 492,384 = 492,384 : x
  2. Step 2: Convert to fraction form
    208,752/492,384 = 492,384/x
  3. Step 3: Cross multiply
    208,752x = 492,384 × 492,384
  4. Step 4: Simplify right side
    208,752x = 242,442,003,456
  5. Step 5: Solve for x
    x = 242,442,003,456/208,752
  6. Step 6: Final answer
    x = 1,161,387.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.