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Finding the Third Proportional to 919,525.50 and 1,262,257.50

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Solution

The third proportional to 919,525.50 and 1,262,257.50 is: 1,732,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,525.50 : 1,262,257.50 = 1,262,257.50 : x
  2. Step 2: Convert to fraction form
    919,525.50/1,262,257.50 = 1,262,257.50/x
  3. Step 3: Cross multiply
    919,525.50x = 1,262,257.50 × 1,262,257.50
  4. Step 4: Simplify right side
    919,525.50x = 1,593,293,996,306.25
  5. Step 5: Solve for x
    x = 1,593,293,996,306.25/919,525.50
  6. Step 6: Final answer
    x = 1,732,734.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.