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Finding the Third Proportional to 379,752 and 590,364

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Solution

The third proportional to 379,752 and 590,364 is: 917,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,752 : 590,364 = 590,364 : x
  2. Step 2: Convert to fraction form
    379,752/590,364 = 590,364/x
  3. Step 3: Cross multiply
    379,752x = 590,364 × 590,364
  4. Step 4: Simplify right side
    379,752x = 348,529,652,496
  5. Step 5: Solve for x
    x = 348,529,652,496/379,752
  6. Step 6: Final answer
    x = 917,782.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.