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Finding the Third Proportional to 494,763.75 and 740,848.50

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Solution

The third proportional to 494,763.75 and 740,848.50 is: 1,109,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,763.75 : 740,848.50 = 740,848.50 : x
  2. Step 2: Convert to fraction form
    494,763.75/740,848.50 = 740,848.50/x
  3. Step 3: Cross multiply
    494,763.75x = 740,848.50 × 740,848.50
  4. Step 4: Simplify right side
    494,763.75x = 548,856,499,952.25
  5. Step 5: Solve for x
    x = 548,856,499,952.25/494,763.75
  6. Step 6: Final answer
    x = 1,109,330.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.