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Finding the Third Proportional to 354,712.50 and 755,433

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Solution

The third proportional to 354,712.50 and 755,433 is: 1,608,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712.50 : 755,433 = 755,433 : x
  2. Step 2: Convert to fraction form
    354,712.50/755,433 = 755,433/x
  3. Step 3: Cross multiply
    354,712.50x = 755,433 × 755,433
  4. Step 4: Simplify right side
    354,712.50x = 570,679,017,489
  5. Step 5: Solve for x
    x = 570,679,017,489/354,712.50
  6. Step 6: Final answer
    x = 1,608,849.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.