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Finding the Third Proportional to 316,593 and 665,986.50

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Solution

The third proportional to 316,593 and 665,986.50 is: 1,400,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,593 : 665,986.50 = 665,986.50 : x
  2. Step 2: Convert to fraction form
    316,593/665,986.50 = 665,986.50/x
  3. Step 3: Cross multiply
    316,593x = 665,986.50 × 665,986.50
  4. Step 4: Simplify right side
    316,593x = 443,538,018,182.25
  5. Step 5: Solve for x
    x = 443,538,018,182.25/316,593
  6. Step 6: Final answer
    x = 1,400,972.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.