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Finding the Third Proportional to 348,944 and 761,376

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Solution

The third proportional to 348,944 and 761,376 is: 1,661,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,944 : 761,376 = 761,376 : x
  2. Step 2: Convert to fraction form
    348,944/761,376 = 761,376/x
  3. Step 3: Cross multiply
    348,944x = 761,376 × 761,376
  4. Step 4: Simplify right side
    348,944x = 579,693,413,376
  5. Step 5: Solve for x
    x = 579,693,413,376/348,944
  6. Step 6: Final answer
    x = 1,661,279.21

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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.