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Finding the Third Proportional to 210,431.25 and 450,407.25

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Solution

The third proportional to 210,431.25 and 450,407.25 is: 964,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,431.25 : 450,407.25 = 450,407.25 : x
  2. Step 2: Convert to fraction form
    210,431.25/450,407.25 = 450,407.25/x
  3. Step 3: Cross multiply
    210,431.25x = 450,407.25 × 450,407.25
  4. Step 4: Simplify right side
    210,431.25x = 202,866,690,852.56
  5. Step 5: Solve for x
    x = 202,866,690,852.56/210,431.25
  6. Step 6: Final answer
    x = 964,052.11

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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.