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Finding the Third Proportional to 429,048 and 642,744

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Solution

The third proportional to 429,048 and 642,744 is: 962,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,048 : 642,744 = 642,744 : x
  2. Step 2: Convert to fraction form
    429,048/642,744 = 642,744/x
  3. Step 3: Cross multiply
    429,048x = 642,744 × 642,744
  4. Step 4: Simplify right side
    429,048x = 413,119,849,536
  5. Step 5: Solve for x
    x = 413,119,849,536/429,048
  6. Step 6: Final answer
    x = 962,875.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.