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Finding the Third Proportional to 504,152.50 and 756,775.75

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Solution

The third proportional to 504,152.50 and 756,775.75 is: 1,135,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,152.50 : 756,775.75 = 756,775.75 : x
  2. Step 2: Convert to fraction form
    504,152.50/756,775.75 = 756,775.75/x
  3. Step 3: Cross multiply
    504,152.50x = 756,775.75 × 756,775.75
  4. Step 4: Simplify right side
    504,152.50x = 572,709,535,788.06
  5. Step 5: Solve for x
    x = 572,709,535,788.06/504,152.50
  6. Step 6: Final answer
    x = 1,135,984.72

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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.