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Finding the Third Proportional to 348,415 and 763,261

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Solution

The third proportional to 348,415 and 763,261 is: 1,672,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,415 : 763,261 = 763,261 : x
  2. Step 2: Convert to fraction form
    348,415/763,261 = 763,261/x
  3. Step 3: Cross multiply
    348,415x = 763,261 × 763,261
  4. Step 4: Simplify right side
    348,415x = 582,567,354,121
  5. Step 5: Solve for x
    x = 582,567,354,121/348,415
  6. Step 6: Final answer
    x = 1,672,050.15

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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.