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Finding the Third Proportional to 483,788.50 and 676,657.50

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Solution

The third proportional to 483,788.50 and 676,657.50 is: 946,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,788.50 : 676,657.50 = 676,657.50 : x
  2. Step 2: Convert to fraction form
    483,788.50/676,657.50 = 676,657.50/x
  3. Step 3: Cross multiply
    483,788.50x = 676,657.50 × 676,657.50
  4. Step 4: Simplify right side
    483,788.50x = 457,865,372,306.25
  5. Step 5: Solve for x
    x = 457,865,372,306.25/483,788.50
  6. Step 6: Final answer
    x = 946,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.