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Finding the Third Proportional to 557,147.25 and 1,202,962.50

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Solution

The third proportional to 557,147.25 and 1,202,962.50 is: 2,597,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,147.25 : 1,202,962.50 = 1,202,962.50 : x
  2. Step 2: Convert to fraction form
    557,147.25/1,202,962.50 = 1,202,962.50/x
  3. Step 3: Cross multiply
    557,147.25x = 1,202,962.50 × 1,202,962.50
  4. Step 4: Simplify right side
    557,147.25x = 1,447,118,776,406.25
  5. Step 5: Solve for x
    x = 1,447,118,776,406.25/557,147.25
  6. Step 6: Final answer
    x = 2,597,372.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.