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Finding the Third Proportional to 280,306.50 and 440,548.50

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Solution

The third proportional to 280,306.50 and 440,548.50 is: 692,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,306.50 : 440,548.50 = 440,548.50 : x
  2. Step 2: Convert to fraction form
    280,306.50/440,548.50 = 440,548.50/x
  3. Step 3: Cross multiply
    280,306.50x = 440,548.50 × 440,548.50
  4. Step 4: Simplify right side
    280,306.50x = 194,082,980,852.25
  5. Step 5: Solve for x
    x = 194,082,980,852.25/280,306.50
  6. Step 6: Final answer
    x = 692,395.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.