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Finding the Third Proportional to 215,254.34 and 471,292.80

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Solution

The third proportional to 215,254.34 and 471,292.80 is: 1,031,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254.34 : 471,292.80 = 471,292.80 : x
  2. Step 2: Convert to fraction form
    215,254.34/471,292.80 = 471,292.80/x
  3. Step 3: Cross multiply
    215,254.34x = 471,292.80 × 471,292.80
  4. Step 4: Simplify right side
    215,254.34x = 222,116,907,750.21
  5. Step 5: Solve for x
    x = 222,116,907,750.21/215,254.34
  6. Step 6: Final answer
    x = 1,031,881.22

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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.