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Finding the Third Proportional to 210,118 and 461,072

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Solution

The third proportional to 210,118 and 461,072 is: 1,011,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,118 : 461,072 = 461,072 : x
  2. Step 2: Convert to fraction form
    210,118/461,072 = 461,072/x
  3. Step 3: Cross multiply
    210,118x = 461,072 × 461,072
  4. Step 4: Simplify right side
    210,118x = 212,587,389,184
  5. Step 5: Solve for x
    x = 212,587,389,184/210,118
  6. Step 6: Final answer
    x = 1,011,752.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.