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Finding the Third Proportional to 210,421.13 and 448,327.13

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Solution

The third proportional to 210,421.13 and 448,327.13 is: 955,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,421.13 : 448,327.13 = 448,327.13 : x
  2. Step 2: Convert to fraction form
    210,421.13/448,327.13 = 448,327.13/x
  3. Step 3: Cross multiply
    210,421.13x = 448,327.13 × 448,327.13
  4. Step 4: Simplify right side
    210,421.13x = 200,997,211,010.77
  5. Step 5: Solve for x
    x = 200,997,211,010.77/210,421.13
  6. Step 6: Final answer
    x = 955,214.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.