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Finding the Third Proportional to 288,759.94 and 444,416.63

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Solution

The third proportional to 288,759.94 and 444,416.63 is: 683,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,759.94 : 444,416.63 = 444,416.63 : x
  2. Step 2: Convert to fraction form
    288,759.94/444,416.63 = 444,416.63/x
  3. Step 3: Cross multiply
    288,759.94x = 444,416.63 × 444,416.63
  4. Step 4: Simplify right side
    288,759.94x = 197,506,136,576.39
  5. Step 5: Solve for x
    x = 197,506,136,576.39/288,759.94
  6. Step 6: Final answer
    x = 683,980.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.