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Finding the Third Proportional to 210,868 and 464,928

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Solution

The third proportional to 210,868 and 464,928 is: 1,025,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,868 : 464,928 = 464,928 : x
  2. Step 2: Convert to fraction form
    210,868/464,928 = 464,928/x
  3. Step 3: Cross multiply
    210,868x = 464,928 × 464,928
  4. Step 4: Simplify right side
    210,868x = 216,158,045,184
  5. Step 5: Solve for x
    x = 216,158,045,184/210,868
  6. Step 6: Final answer
    x = 1,025,087.00

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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.