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Finding the Third Proportional to 348,416 and 763,264

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Solution

The third proportional to 348,416 and 763,264 is: 1,672,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,416 : 763,264 = 763,264 : x
  2. Step 2: Convert to fraction form
    348,416/763,264 = 763,264/x
  3. Step 3: Cross multiply
    348,416x = 763,264 × 763,264
  4. Step 4: Simplify right side
    348,416x = 582,571,933,696
  5. Step 5: Solve for x
    x = 582,571,933,696/348,416
  6. Step 6: Final answer
    x = 1,672,058.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.