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Finding the Third Proportional to 348,948 and 761,384

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Solution

The third proportional to 348,948 and 761,384 is: 1,661,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,948 : 761,384 = 761,384 : x
  2. Step 2: Convert to fraction form
    348,948/761,384 = 761,384/x
  3. Step 3: Cross multiply
    348,948x = 761,384 × 761,384
  4. Step 4: Simplify right side
    348,948x = 579,705,595,456
  5. Step 5: Solve for x
    x = 579,705,595,456/348,948
  6. Step 6: Final answer
    x = 1,661,295.08

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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.