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Finding the Third Proportional to 212,951 and 465,754

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Solution

The third proportional to 212,951 and 465,754 is: 1,018,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951 : 465,754 = 465,754 : x
  2. Step 2: Convert to fraction form
    212,951/465,754 = 465,754/x
  3. Step 3: Cross multiply
    212,951x = 465,754 × 465,754
  4. Step 4: Simplify right side
    212,951x = 216,926,788,516
  5. Step 5: Solve for x
    x = 216,926,788,516/212,951
  6. Step 6: Final answer
    x = 1,018,669.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.