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Finding the Third Proportional to 297,477.56 and 433,755

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Solution

The third proportional to 297,477.56 and 433,755 is: 632,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,477.56 : 433,755 = 433,755 : x
  2. Step 2: Convert to fraction form
    297,477.56/433,755 = 433,755/x
  3. Step 3: Cross multiply
    297,477.56x = 433,755 × 433,755
  4. Step 4: Simplify right side
    297,477.56x = 188,143,400,025
  5. Step 5: Solve for x
    x = 188,143,400,025/297,477.56
  6. Step 6: Final answer
    x = 632,462.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.