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Finding the Third Proportional to 237,751 and 512,952

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Solution

The third proportional to 237,751 and 512,952 is: 1,106,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,751 : 512,952 = 512,952 : x
  2. Step 2: Convert to fraction form
    237,751/512,952 = 512,952/x
  3. Step 3: Cross multiply
    237,751x = 512,952 × 512,952
  4. Step 4: Simplify right side
    237,751x = 263,119,754,304
  5. Step 5: Solve for x
    x = 263,119,754,304/237,751
  6. Step 6: Final answer
    x = 1,106,703.04

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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.