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Finding the Third Proportional to 236,674 and 514,820

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Solution

The third proportional to 236,674 and 514,820 is: 1,119,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,674 : 514,820 = 514,820 : x
  2. Step 2: Convert to fraction form
    236,674/514,820 = 514,820/x
  3. Step 3: Cross multiply
    236,674x = 514,820 × 514,820
  4. Step 4: Simplify right side
    236,674x = 265,039,632,400
  5. Step 5: Solve for x
    x = 265,039,632,400/236,674
  6. Step 6: Final answer
    x = 1,119,851.07

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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.