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Finding the Third Proportional to 210,051.56 and 460,920.38

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Solution

The third proportional to 210,051.56 and 460,920.38 is: 1,011,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051.56 : 460,920.38 = 460,920.38 : x
  2. Step 2: Convert to fraction form
    210,051.56/460,920.38 = 460,920.38/x
  3. Step 3: Cross multiply
    210,051.56x = 460,920.38 × 460,920.38
  4. Step 4: Simplify right side
    210,051.56x = 212,447,592,090.14
  5. Step 5: Solve for x
    x = 212,447,592,090.14/210,051.56
  6. Step 6: Final answer
    x = 1,011,406.86

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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.