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Finding the Third Proportional to 547,958.25 and 859,801.50

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Solution

The third proportional to 547,958.25 and 859,801.50 is: 1,349,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,958.25 : 859,801.50 = 859,801.50 : x
  2. Step 2: Convert to fraction form
    547,958.25/859,801.50 = 859,801.50/x
  3. Step 3: Cross multiply
    547,958.25x = 859,801.50 × 859,801.50
  4. Step 4: Simplify right side
    547,958.25x = 739,258,619,402.25
  5. Step 5: Solve for x
    x = 739,258,619,402.25/547,958.25
  6. Step 6: Final answer
    x = 1,349,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.