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Finding the Third Proportional to 301,381.50 and 455,956.50

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Solution

The third proportional to 301,381.50 and 455,956.50 is: 689,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,381.50 : 455,956.50 = 455,956.50 : x
  2. Step 2: Convert to fraction form
    301,381.50/455,956.50 = 455,956.50/x
  3. Step 3: Cross multiply
    301,381.50x = 455,956.50 × 455,956.50
  4. Step 4: Simplify right side
    301,381.50x = 207,896,329,892.25
  5. Step 5: Solve for x
    x = 207,896,329,892.25/301,381.50
  6. Step 6: Final answer
    x = 689,811.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.