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Finding the Third Proportional to 350,122.50 and 540,730.69

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Solution

The third proportional to 350,122.50 and 540,730.69 is: 835,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,122.50 : 540,730.69 = 540,730.69 : x
  2. Step 2: Convert to fraction form
    350,122.50/540,730.69 = 540,730.69/x
  3. Step 3: Cross multiply
    350,122.50x = 540,730.69 × 540,730.69
  4. Step 4: Simplify right side
    350,122.50x = 292,389,676,404.22
  5. Step 5: Solve for x
    x = 292,389,676,404.22/350,122.50
  6. Step 6: Final answer
    x = 835,106.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.