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Finding the Third Proportional to 316,467 and 746,593.50

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Solution

The third proportional to 316,467 and 746,593.50 is: 1,761,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,467 : 746,593.50 = 746,593.50 : x
  2. Step 2: Convert to fraction form
    316,467/746,593.50 = 746,593.50/x
  3. Step 3: Cross multiply
    316,467x = 746,593.50 × 746,593.50
  4. Step 4: Simplify right side
    316,467x = 557,401,854,242.25
  5. Step 5: Solve for x
    x = 557,401,854,242.25/316,467
  6. Step 6: Final answer
    x = 1,761,326.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.