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Finding the Third Proportional to 481,612 and 708,453

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Solution

The third proportional to 481,612 and 708,453 is: 1,042,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,612 : 708,453 = 708,453 : x
  2. Step 2: Convert to fraction form
    481,612/708,453 = 708,453/x
  3. Step 3: Cross multiply
    481,612x = 708,453 × 708,453
  4. Step 4: Simplify right side
    481,612x = 501,905,653,209
  5. Step 5: Solve for x
    x = 501,905,653,209/481,612
  6. Step 6: Final answer
    x = 1,042,136.93

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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.