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Finding the Third Proportional to 210,421.13 and 450,748.13

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Solution

The third proportional to 210,421.13 and 450,748.13 is: 965,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,421.13 : 450,748.13 = 450,748.13 : x
  2. Step 2: Convert to fraction form
    210,421.13/450,748.13 = 450,748.13/x
  3. Step 3: Cross multiply
    210,421.13x = 450,748.13 × 450,748.13
  4. Step 4: Simplify right side
    210,421.13x = 203,173,872,191.02
  5. Step 5: Solve for x
    x = 203,173,872,191.02/210,421.13
  6. Step 6: Final answer
    x = 965,558.34

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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.