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Finding the Third Proportional to 237,820 and 514,844

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Solution

The third proportional to 237,820 and 514,844 is: 1,114,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,820 : 514,844 = 514,844 : x
  2. Step 2: Convert to fraction form
    237,820/514,844 = 514,844/x
  3. Step 3: Cross multiply
    237,820x = 514,844 × 514,844
  4. Step 4: Simplify right side
    237,820x = 265,064,344,336
  5. Step 5: Solve for x
    x = 265,064,344,336/237,820
  6. Step 6: Final answer
    x = 1,114,558.68

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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.