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Finding the Third Proportional to 237,822 and 514,848

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Solution

The third proportional to 237,822 and 514,848 is: 1,114,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,822 : 514,848 = 514,848 : x
  2. Step 2: Convert to fraction form
    237,822/514,848 = 514,848/x
  3. Step 3: Cross multiply
    237,822x = 514,848 × 514,848
  4. Step 4: Simplify right side
    237,822x = 265,068,463,104
  5. Step 5: Solve for x
    x = 265,068,463,104/237,822
  6. Step 6: Final answer
    x = 1,114,566.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.