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Finding the Third Proportional to 282,360.50 and 550,532

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Solution

The third proportional to 282,360.50 and 550,532 is: 1,073,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,360.50 : 550,532 = 550,532 : x
  2. Step 2: Convert to fraction form
    282,360.50/550,532 = 550,532/x
  3. Step 3: Cross multiply
    282,360.50x = 550,532 × 550,532
  4. Step 4: Simplify right side
    282,360.50x = 303,085,483,024
  5. Step 5: Solve for x
    x = 303,085,483,024/282,360.50
  6. Step 6: Final answer
    x = 1,073,399.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.