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Finding the Third Proportional to 501,977.25 and 754,069.50

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Solution

The third proportional to 501,977.25 and 754,069.50 is: 1,132,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,977.25 : 754,069.50 = 754,069.50 : x
  2. Step 2: Convert to fraction form
    501,977.25/754,069.50 = 754,069.50/x
  3. Step 3: Cross multiply
    501,977.25x = 754,069.50 × 754,069.50
  4. Step 4: Simplify right side
    501,977.25x = 568,620,810,830.25
  5. Step 5: Solve for x
    x = 568,620,810,830.25/501,977.25
  6. Step 6: Final answer
    x = 1,132,762.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.