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Finding the Third Proportional to 429,252.75 and 932,313.38

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Solution

The third proportional to 429,252.75 and 932,313.38 is: 2,024,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,252.75 : 932,313.38 = 932,313.38 : x
  2. Step 2: Convert to fraction form
    429,252.75/932,313.38 = 932,313.38/x
  3. Step 3: Cross multiply
    429,252.75x = 932,313.38 × 932,313.38
  4. Step 4: Simplify right side
    429,252.75x = 869,208,229,203.89
  5. Step 5: Solve for x
    x = 869,208,229,203.89/429,252.75
  6. Step 6: Final answer
    x = 2,024,933.40

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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.