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Finding the Third Proportional to 293,339 and 706,433

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Solution

The third proportional to 293,339 and 706,433 is: 1,701,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,339 : 706,433 = 706,433 : x
  2. Step 2: Convert to fraction form
    293,339/706,433 = 706,433/x
  3. Step 3: Cross multiply
    293,339x = 706,433 × 706,433
  4. Step 4: Simplify right side
    293,339x = 499,047,583,489
  5. Step 5: Solve for x
    x = 499,047,583,489/293,339
  6. Step 6: Final answer
    x = 1,701,265.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.