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Finding the Third Proportional to 236,653 and 514,770

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Solution

The third proportional to 236,653 and 514,770 is: 1,119,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,653 : 514,770 = 514,770 : x
  2. Step 2: Convert to fraction form
    236,653/514,770 = 514,770/x
  3. Step 3: Cross multiply
    236,653x = 514,770 × 514,770
  4. Step 4: Simplify right side
    236,653x = 264,988,152,900
  5. Step 5: Solve for x
    x = 264,988,152,900/236,653
  6. Step 6: Final answer
    x = 1,119,732.91

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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.