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Finding the Third Proportional to 291,568.50 and 435,100.50

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Solution

The third proportional to 291,568.50 and 435,100.50 is: 649,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,568.50 : 435,100.50 = 435,100.50 : x
  2. Step 2: Convert to fraction form
    291,568.50/435,100.50 = 435,100.50/x
  3. Step 3: Cross multiply
    291,568.50x = 435,100.50 × 435,100.50
  4. Step 4: Simplify right side
    291,568.50x = 189,312,445,100.25
  5. Step 5: Solve for x
    x = 189,312,445,100.25/291,568.50
  6. Step 6: Final answer
    x = 649,289.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.