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Finding the Third Proportional to 508,482.75 and 769,285.50

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Solution

The third proportional to 508,482.75 and 769,285.50 is: 1,163,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,482.75 : 769,285.50 = 769,285.50 : x
  2. Step 2: Convert to fraction form
    508,482.75/769,285.50 = 769,285.50/x
  3. Step 3: Cross multiply
    508,482.75x = 769,285.50 × 769,285.50
  4. Step 4: Simplify right side
    508,482.75x = 591,800,180,510.25
  5. Step 5: Solve for x
    x = 591,800,180,510.25/508,482.75
  6. Step 6: Final answer
    x = 1,163,854.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.