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Finding the Third Proportional to 652,359.75 and 1,349,469.75

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Solution

The third proportional to 652,359.75 and 1,349,469.75 is: 2,791,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,359.75 : 1,349,469.75 = 1,349,469.75 : x
  2. Step 2: Convert to fraction form
    652,359.75/1,349,469.75 = 1,349,469.75/x
  3. Step 3: Cross multiply
    652,359.75x = 1,349,469.75 × 1,349,469.75
  4. Step 4: Simplify right side
    652,359.75x = 1,821,068,606,165.06
  5. Step 5: Solve for x
    x = 1,821,068,606,165.06/652,359.75
  6. Step 6: Final answer
    x = 2,791,509.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.