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Finding the Third Proportional to 279,965.25 and 430,905

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Solution

The third proportional to 279,965.25 and 430,905 is: 663,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,965.25 : 430,905 = 430,905 : x
  2. Step 2: Convert to fraction form
    279,965.25/430,905 = 430,905/x
  3. Step 3: Cross multiply
    279,965.25x = 430,905 × 430,905
  4. Step 4: Simplify right side
    279,965.25x = 185,679,119,025
  5. Step 5: Solve for x
    x = 185,679,119,025/279,965.25
  6. Step 6: Final answer
    x = 663,222.02

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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.