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Finding the Third Proportional to 314,722.13 and 679,198.50

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Solution

The third proportional to 314,722.13 and 679,198.50 is: 1,465,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.13 : 679,198.50 = 679,198.50 : x
  2. Step 2: Convert to fraction form
    314,722.13/679,198.50 = 679,198.50/x
  3. Step 3: Cross multiply
    314,722.13x = 679,198.50 × 679,198.50
  4. Step 4: Simplify right side
    314,722.13x = 461,310,602,402.25
  5. Step 5: Solve for x
    x = 461,310,602,402.25/314,722.13
  6. Step 6: Final answer
    x = 1,465,771.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.