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Finding the Third Proportional to 293,315.75 and 706,381.50

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Solution

The third proportional to 293,315.75 and 706,381.50 is: 1,701,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,315.75 : 706,381.50 = 706,381.50 : x
  2. Step 2: Convert to fraction form
    293,315.75/706,381.50 = 706,381.50/x
  3. Step 3: Cross multiply
    293,315.75x = 706,381.50 × 706,381.50
  4. Step 4: Simplify right side
    293,315.75x = 498,974,823,542.25
  5. Step 5: Solve for x
    x = 498,974,823,542.25/293,315.75
  6. Step 6: Final answer
    x = 1,701,152.51

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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.