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Finding the Third Proportional to 210,657 and 450,839

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Solution

The third proportional to 210,657 and 450,839 is: 964,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,657 : 450,839 = 450,839 : x
  2. Step 2: Convert to fraction form
    210,657/450,839 = 450,839/x
  3. Step 3: Cross multiply
    210,657x = 450,839 × 450,839
  4. Step 4: Simplify right side
    210,657x = 203,255,803,921
  5. Step 5: Solve for x
    x = 203,255,803,921/210,657
  6. Step 6: Final answer
    x = 964,866.13

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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.