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Finding the Third Proportional to 255,201.50 and 559,246.50

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Solution

The third proportional to 255,201.50 and 559,246.50 is: 1,225,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,201.50 : 559,246.50 = 559,246.50 : x
  2. Step 2: Convert to fraction form
    255,201.50/559,246.50 = 559,246.50/x
  3. Step 3: Cross multiply
    255,201.50x = 559,246.50 × 559,246.50
  4. Step 4: Simplify right side
    255,201.50x = 312,756,647,762.25
  5. Step 5: Solve for x
    x = 312,756,647,762.25/255,201.50
  6. Step 6: Final answer
    x = 1,225,528.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.