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Finding the Third Proportional to 451,754.50 and 602,257.50

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Solution

The third proportional to 451,754.50 and 602,257.50 is: 802,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,754.50 : 602,257.50 = 602,257.50 : x
  2. Step 2: Convert to fraction form
    451,754.50/602,257.50 = 602,257.50/x
  3. Step 3: Cross multiply
    451,754.50x = 602,257.50 × 602,257.50
  4. Step 4: Simplify right side
    451,754.50x = 362,714,096,306.25
  5. Step 5: Solve for x
    x = 362,714,096,306.25/451,754.50
  6. Step 6: Final answer
    x = 802,900.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.