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Finding the Third Proportional to 430,825.50 and 941,915.25

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Solution

The third proportional to 430,825.50 and 941,915.25 is: 2,059,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,825.50 : 941,915.25 = 941,915.25 : x
  2. Step 2: Convert to fraction form
    430,825.50/941,915.25 = 941,915.25/x
  3. Step 3: Cross multiply
    430,825.50x = 941,915.25 × 941,915.25
  4. Step 4: Simplify right side
    430,825.50x = 887,204,338,182.56
  5. Step 5: Solve for x
    x = 887,204,338,182.56/430,825.50
  6. Step 6: Final answer
    x = 2,059,312.50

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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.