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Finding the Third Proportional to 295,917 and 463,588.50

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Solution

The third proportional to 295,917 and 463,588.50 is: 726,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,917 : 463,588.50 = 463,588.50 : x
  2. Step 2: Convert to fraction form
    295,917/463,588.50 = 463,588.50/x
  3. Step 3: Cross multiply
    295,917x = 463,588.50 × 463,588.50
  4. Step 4: Simplify right side
    295,917x = 214,914,297,332.25
  5. Step 5: Solve for x
    x = 214,914,297,332.25/295,917
  6. Step 6: Final answer
    x = 726,265.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.