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Finding the Third Proportional to 374,534.63 and 825,417.88

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Solution

The third proportional to 374,534.63 and 825,417.88 is: 1,819,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,534.63 : 825,417.88 = 825,417.88 : x
  2. Step 2: Convert to fraction form
    374,534.63/825,417.88 = 825,417.88/x
  3. Step 3: Cross multiply
    374,534.63x = 825,417.88 × 825,417.88
  4. Step 4: Simplify right side
    374,534.63x = 681,314,668,369.52
  5. Step 5: Solve for x
    x = 681,314,668,369.52/374,534.63
  6. Step 6: Final answer
    x = 1,819,096.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.