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Finding the Third Proportional to 210,628 and 463,952

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Solution

The third proportional to 210,628 and 463,952 is: 1,021,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,628 : 463,952 = 463,952 : x
  2. Step 2: Convert to fraction form
    210,628/463,952 = 463,952/x
  3. Step 3: Cross multiply
    210,628x = 463,952 × 463,952
  4. Step 4: Simplify right side
    210,628x = 215,251,458,304
  5. Step 5: Solve for x
    x = 215,251,458,304/210,628
  6. Step 6: Final answer
    x = 1,021,950.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.