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Finding the Third Proportional to 210,407.63 and 450,962.44

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Solution

The third proportional to 210,407.63 and 450,962.44 is: 966,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,407.63 : 450,962.44 = 450,962.44 : x
  2. Step 2: Convert to fraction form
    210,407.63/450,962.44 = 450,962.44/x
  3. Step 3: Cross multiply
    210,407.63x = 450,962.44 × 450,962.44
  4. Step 4: Simplify right side
    210,407.63x = 203,367,120,035.94
  5. Step 5: Solve for x
    x = 203,367,120,035.94/210,407.63
  6. Step 6: Final answer
    x = 966,538.74

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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.