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Finding the Third Proportional to 236,650 and 514,764

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Solution

The third proportional to 236,650 and 514,764 is: 1,119,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,650 : 514,764 = 514,764 : x
  2. Step 2: Convert to fraction form
    236,650/514,764 = 514,764/x
  3. Step 3: Cross multiply
    236,650x = 514,764 × 514,764
  4. Step 4: Simplify right side
    236,650x = 264,981,975,696
  5. Step 5: Solve for x
    x = 264,981,975,696/236,650
  6. Step 6: Final answer
    x = 1,119,721.00

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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.