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Finding the Third Proportional to 429,134.63 and 630,563.63

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Solution

The third proportional to 429,134.63 and 630,563.63 is: 926,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,134.63 : 630,563.63 = 630,563.63 : x
  2. Step 2: Convert to fraction form
    429,134.63/630,563.63 = 630,563.63/x
  3. Step 3: Cross multiply
    429,134.63x = 630,563.63 × 630,563.63
  4. Step 4: Simplify right side
    429,134.63x = 397,610,485,173.14
  5. Step 5: Solve for x
    x = 397,610,485,173.14/429,134.63
  6. Step 6: Final answer
    x = 926,540.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.