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Finding the Third Proportional to 335,245.50 and 715,851

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Solution

The third proportional to 335,245.50 and 715,851 is: 1,528,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,245.50 : 715,851 = 715,851 : x
  2. Step 2: Convert to fraction form
    335,245.50/715,851 = 715,851/x
  3. Step 3: Cross multiply
    335,245.50x = 715,851 × 715,851
  4. Step 4: Simplify right side
    335,245.50x = 512,442,654,201
  5. Step 5: Solve for x
    x = 512,442,654,201/335,245.50
  6. Step 6: Final answer
    x = 1,528,559.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.