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Finding the Third Proportional to 515,072 and 819,584

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Solution

The third proportional to 515,072 and 819,584 is: 1,304,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,072 : 819,584 = 819,584 : x
  2. Step 2: Convert to fraction form
    515,072/819,584 = 819,584/x
  3. Step 3: Cross multiply
    515,072x = 819,584 × 819,584
  4. Step 4: Simplify right side
    515,072x = 671,717,933,056
  5. Step 5: Solve for x
    x = 671,717,933,056/515,072
  6. Step 6: Final answer
    x = 1,304,124.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.