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Finding the Third Proportional to 368,752 and 804,247

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Solution

The third proportional to 368,752 and 804,247 is: 1,754,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,752 : 804,247 = 804,247 : x
  2. Step 2: Convert to fraction form
    368,752/804,247 = 804,247/x
  3. Step 3: Cross multiply
    368,752x = 804,247 × 804,247
  4. Step 4: Simplify right side
    368,752x = 646,813,237,009
  5. Step 5: Solve for x
    x = 646,813,237,009/368,752
  6. Step 6: Final answer
    x = 1,754,060.28

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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.