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Finding the Third Proportional to 463,569 and 717,405

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Solution

The third proportional to 463,569 and 717,405 is: 1,110,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,569 : 717,405 = 717,405 : x
  2. Step 2: Convert to fraction form
    463,569/717,405 = 717,405/x
  3. Step 3: Cross multiply
    463,569x = 717,405 × 717,405
  4. Step 4: Simplify right side
    463,569x = 514,669,934,025
  5. Step 5: Solve for x
    x = 514,669,934,025/463,569
  6. Step 6: Final answer
    x = 1,110,233.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.