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Finding the Third Proportional to 244,304 and 514,852

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Solution

The third proportional to 244,304 and 514,852 is: 1,085,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,304 : 514,852 = 514,852 : x
  2. Step 2: Convert to fraction form
    244,304/514,852 = 514,852/x
  3. Step 3: Cross multiply
    244,304x = 514,852 × 514,852
  4. Step 4: Simplify right side
    244,304x = 265,072,581,904
  5. Step 5: Solve for x
    x = 265,072,581,904/244,304
  6. Step 6: Final answer
    x = 1,085,011.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.