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Finding the Third Proportional to 210,496 and 465,300

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Solution

The third proportional to 210,496 and 465,300 is: 1,028,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,496 : 465,300 = 465,300 : x
  2. Step 2: Convert to fraction form
    210,496/465,300 = 465,300/x
  3. Step 3: Cross multiply
    210,496x = 465,300 × 465,300
  4. Step 4: Simplify right side
    210,496x = 216,504,090,000
  5. Step 5: Solve for x
    x = 216,504,090,000/210,496
  6. Step 6: Final answer
    x = 1,028,542.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.