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Finding the Third Proportional to 440,913 and 659,653.50

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Solution

The third proportional to 440,913 and 659,653.50 is: 986,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,913 : 659,653.50 = 659,653.50 : x
  2. Step 2: Convert to fraction form
    440,913/659,653.50 = 659,653.50/x
  3. Step 3: Cross multiply
    440,913x = 659,653.50 × 659,653.50
  4. Step 4: Simplify right side
    440,913x = 435,142,740,062.25
  5. Step 5: Solve for x
    x = 435,142,740,062.25/440,913
  6. Step 6: Final answer
    x = 986,912.93

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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.