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Finding the Third Proportional to 287,047.50 and 617,971.25

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Solution

The third proportional to 287,047.50 and 617,971.25 is: 1,330,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,047.50 : 617,971.25 = 617,971.25 : x
  2. Step 2: Convert to fraction form
    287,047.50/617,971.25 = 617,971.25/x
  3. Step 3: Cross multiply
    287,047.50x = 617,971.25 × 617,971.25
  4. Step 4: Simplify right side
    287,047.50x = 381,888,465,826.56
  5. Step 5: Solve for x
    x = 381,888,465,826.56/287,047.50
  6. Step 6: Final answer
    x = 1,330,401.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.