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Finding the Third Proportional to 348,372 and 763,146

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Solution

The third proportional to 348,372 and 763,146 is: 1,671,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,372 : 763,146 = 763,146 : x
  2. Step 2: Convert to fraction form
    348,372/763,146 = 763,146/x
  3. Step 3: Cross multiply
    348,372x = 763,146 × 763,146
  4. Step 4: Simplify right side
    348,372x = 582,391,817,316
  5. Step 5: Solve for x
    x = 582,391,817,316/348,372
  6. Step 6: Final answer
    x = 1,671,752.66

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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.