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Finding the Third Proportional to 213,653 and 461,569

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Solution

The third proportional to 213,653 and 461,569 is: 997,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,653 : 461,569 = 461,569 : x
  2. Step 2: Convert to fraction form
    213,653/461,569 = 461,569/x
  3. Step 3: Cross multiply
    213,653x = 461,569 × 461,569
  4. Step 4: Simplify right side
    213,653x = 213,045,941,761
  5. Step 5: Solve for x
    x = 213,045,941,761/213,653
  6. Step 6: Final answer
    x = 997,158.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.