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Finding the Third Proportional to 429,136.50 and 630,567

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Solution

The third proportional to 429,136.50 and 630,567 is: 926,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,136.50 : 630,567 = 630,567 : x
  2. Step 2: Convert to fraction form
    429,136.50/630,567 = 630,567/x
  3. Step 3: Cross multiply
    429,136.50x = 630,567 × 630,567
  4. Step 4: Simplify right side
    429,136.50x = 397,614,741,489
  5. Step 5: Solve for x
    x = 397,614,741,489/429,136.50
  6. Step 6: Final answer
    x = 926,546.08

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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.