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Finding the Third Proportional to 210,447 and 450,501

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Solution

The third proportional to 210,447 and 450,501 is: 964,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,447 : 450,501 = 450,501 : x
  2. Step 2: Convert to fraction form
    210,447/450,501 = 450,501/x
  3. Step 3: Cross multiply
    210,447x = 450,501 × 450,501
  4. Step 4: Simplify right side
    210,447x = 202,951,151,001
  5. Step 5: Solve for x
    x = 202,951,151,001/210,447
  6. Step 6: Final answer
    x = 964,381.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.