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Finding the Third Proportional to 496,975.50 and 765,281.25

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Solution

The third proportional to 496,975.50 and 765,281.25 is: 1,178,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,975.50 : 765,281.25 = 765,281.25 : x
  2. Step 2: Convert to fraction form
    496,975.50/765,281.25 = 765,281.25/x
  3. Step 3: Cross multiply
    496,975.50x = 765,281.25 × 765,281.25
  4. Step 4: Simplify right side
    496,975.50x = 585,655,391,601.56
  5. Step 5: Solve for x
    x = 585,655,391,601.56/496,975.50
  6. Step 6: Final answer
    x = 1,178,439.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.