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Finding the Third Proportional to 531,222.75 and 801,280.50

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Solution

The third proportional to 531,222.75 and 801,280.50 is: 1,208,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,222.75 : 801,280.50 = 801,280.50 : x
  2. Step 2: Convert to fraction form
    531,222.75/801,280.50 = 801,280.50/x
  3. Step 3: Cross multiply
    531,222.75x = 801,280.50 × 801,280.50
  4. Step 4: Simplify right side
    531,222.75x = 642,050,439,680.25
  5. Step 5: Solve for x
    x = 642,050,439,680.25/531,222.75
  6. Step 6: Final answer
    x = 1,208,627.53

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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.