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Finding the Third Proportional to 428,157.56 and 932,596.88

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Solution

The third proportional to 428,157.56 and 932,596.88 is: 2,031,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,157.56 : 932,596.88 = 932,596.88 : x
  2. Step 2: Convert to fraction form
    428,157.56/932,596.88 = 932,596.88/x
  3. Step 3: Cross multiply
    428,157.56x = 932,596.88 × 932,596.88
  4. Step 4: Simplify right side
    428,157.56x = 869,736,931,259.77
  5. Step 5: Solve for x
    x = 869,736,931,259.77/428,157.56
  6. Step 6: Final answer
    x = 2,031,347.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.