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Finding the Third Proportional to 380,254.50 and 826,726.50

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Solution

The third proportional to 380,254.50 and 826,726.50 is: 1,797,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,254.50 : 826,726.50 = 826,726.50 : x
  2. Step 2: Convert to fraction form
    380,254.50/826,726.50 = 826,726.50/x
  3. Step 3: Cross multiply
    380,254.50x = 826,726.50 × 826,726.50
  4. Step 4: Simplify right side
    380,254.50x = 683,476,705,802.25
  5. Step 5: Solve for x
    x = 683,476,705,802.25/380,254.50
  6. Step 6: Final answer
    x = 1,797,419.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.