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Finding the Third Proportional to 334,564.50 and 476,932.50

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Solution

The third proportional to 334,564.50 and 476,932.50 is: 679,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,564.50 : 476,932.50 = 476,932.50 : x
  2. Step 2: Convert to fraction form
    334,564.50/476,932.50 = 476,932.50/x
  3. Step 3: Cross multiply
    334,564.50x = 476,932.50 × 476,932.50
  4. Step 4: Simplify right side
    334,564.50x = 227,464,609,556.25
  5. Step 5: Solve for x
    x = 227,464,609,556.25/334,564.50
  6. Step 6: Final answer
    x = 679,882.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.