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Finding the Third Proportional to 440,830.13 and 659,534.63

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Solution

The third proportional to 440,830.13 and 659,534.63 is: 986,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,830.13 : 659,534.63 = 659,534.63 : x
  2. Step 2: Convert to fraction form
    440,830.13/659,534.63 = 659,534.63/x
  3. Step 3: Cross multiply
    440,830.13x = 659,534.63 × 659,534.63
  4. Step 4: Simplify right side
    440,830.13x = 434,985,921,573.89
  5. Step 5: Solve for x
    x = 434,985,921,573.89/440,830.13
  6. Step 6: Final answer
    x = 986,742.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.