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Finding the Third Proportional to 344,633 and 514,884

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Solution

The third proportional to 344,633 and 514,884 is: 769,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,633 : 514,884 = 514,884 : x
  2. Step 2: Convert to fraction form
    344,633/514,884 = 514,884/x
  3. Step 3: Cross multiply
    344,633x = 514,884 × 514,884
  4. Step 4: Simplify right side
    344,633x = 265,105,533,456
  5. Step 5: Solve for x
    x = 265,105,533,456/344,633
  6. Step 6: Final answer
    x = 769,240.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.