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Finding the Third Proportional to 429,134.50 and 630,564

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Solution

The third proportional to 429,134.50 and 630,564 is: 926,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,134.50 : 630,564 = 630,564 : x
  2. Step 2: Convert to fraction form
    429,134.50/630,564 = 630,564/x
  3. Step 3: Cross multiply
    429,134.50x = 630,564 × 630,564
  4. Step 4: Simplify right side
    429,134.50x = 397,610,958,096
  5. Step 5: Solve for x
    x = 397,610,958,096/429,134.50
  6. Step 6: Final answer
    x = 926,541.58

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