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Finding the Third Proportional to 481,801.50 and 746,030.25

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Solution

The third proportional to 481,801.50 and 746,030.25 is: 1,155,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,801.50 : 746,030.25 = 746,030.25 : x
  2. Step 2: Convert to fraction form
    481,801.50/746,030.25 = 746,030.25/x
  3. Step 3: Cross multiply
    481,801.50x = 746,030.25 × 746,030.25
  4. Step 4: Simplify right side
    481,801.50x = 556,561,133,915.06
  5. Step 5: Solve for x
    x = 556,561,133,915.06/481,801.50
  6. Step 6: Final answer
    x = 1,155,166.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.