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Finding the Third Proportional to 210,313 and 458,687

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Solution

The third proportional to 210,313 and 458,687 is: 1,000,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,313 : 458,687 = 458,687 : x
  2. Step 2: Convert to fraction form
    210,313/458,687 = 458,687/x
  3. Step 3: Cross multiply
    210,313x = 458,687 × 458,687
  4. Step 4: Simplify right side
    210,313x = 210,393,763,969
  5. Step 5: Solve for x
    x = 210,393,763,969/210,313
  6. Step 6: Final answer
    x = 1,000,384.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.