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Finding the Third Proportional to 560,794.50 and 1,352,029.50

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Solution

The third proportional to 560,794.50 and 1,352,029.50 is: 3,259,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,794.50 : 1,352,029.50 = 1,352,029.50 : x
  2. Step 2: Convert to fraction form
    560,794.50/1,352,029.50 = 1,352,029.50/x
  3. Step 3: Cross multiply
    560,794.50x = 1,352,029.50 × 1,352,029.50
  4. Step 4: Simplify right side
    560,794.50x = 1,827,983,768,870.25
  5. Step 5: Solve for x
    x = 1,827,983,768,870.25/560,794.50
  6. Step 6: Final answer
    x = 3,259,632.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.