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Finding the Third Proportional to 281,247.50 and 435,601.50

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Solution

The third proportional to 281,247.50 and 435,601.50 is: 674,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,247.50 : 435,601.50 = 435,601.50 : x
  2. Step 2: Convert to fraction form
    281,247.50/435,601.50 = 435,601.50/x
  3. Step 3: Cross multiply
    281,247.50x = 435,601.50 × 435,601.50
  4. Step 4: Simplify right side
    281,247.50x = 189,748,666,802.25
  5. Step 5: Solve for x
    x = 189,748,666,802.25/281,247.50
  6. Step 6: Final answer
    x = 674,667.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.