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Finding the Third Proportional to 270,427.50 and 626,017.50

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Solution

The third proportional to 270,427.50 and 626,017.50 is: 1,449,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,427.50 : 626,017.50 = 626,017.50 : x
  2. Step 2: Convert to fraction form
    270,427.50/626,017.50 = 626,017.50/x
  3. Step 3: Cross multiply
    270,427.50x = 626,017.50 × 626,017.50
  4. Step 4: Simplify right side
    270,427.50x = 391,897,910,306.25
  5. Step 5: Solve for x
    x = 391,897,910,306.25/270,427.50
  6. Step 6: Final answer
    x = 1,449,179.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.