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Finding the Third Proportional to 429,811.50 and 934,259

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Solution

The third proportional to 429,811.50 and 934,259 is: 2,030,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,811.50 : 934,259 = 934,259 : x
  2. Step 2: Convert to fraction form
    429,811.50/934,259 = 934,259/x
  3. Step 3: Cross multiply
    429,811.50x = 934,259 × 934,259
  4. Step 4: Simplify right side
    429,811.50x = 872,839,879,081
  5. Step 5: Solve for x
    x = 872,839,879,081/429,811.50
  6. Step 6: Final answer
    x = 2,030,750.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.