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Finding the Third Proportional to 285,607.50 and 620,373

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Solution

The third proportional to 285,607.50 and 620,373 is: 1,347,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,607.50 : 620,373 = 620,373 : x
  2. Step 2: Convert to fraction form
    285,607.50/620,373 = 620,373/x
  3. Step 3: Cross multiply
    285,607.50x = 620,373 × 620,373
  4. Step 4: Simplify right side
    285,607.50x = 384,862,659,129
  5. Step 5: Solve for x
    x = 384,862,659,129/285,607.50
  6. Step 6: Final answer
    x = 1,347,522.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.