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Finding the Third Proportional to 429,260.50 and 932,329

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Solution

The third proportional to 429,260.50 and 932,329 is: 2,024,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,260.50 : 932,329 = 932,329 : x
  2. Step 2: Convert to fraction form
    429,260.50/932,329 = 932,329/x
  3. Step 3: Cross multiply
    429,260.50x = 932,329 × 932,329
  4. Step 4: Simplify right side
    429,260.50x = 869,237,364,241
  5. Step 5: Solve for x
    x = 869,237,364,241/429,260.50
  6. Step 6: Final answer
    x = 2,024,964.71

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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.