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Finding the Third Proportional to 367,541 and 750,634

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Solution

The third proportional to 367,541 and 750,634 is: 1,533,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,541 : 750,634 = 750,634 : x
  2. Step 2: Convert to fraction form
    367,541/750,634 = 750,634/x
  3. Step 3: Cross multiply
    367,541x = 750,634 × 750,634
  4. Step 4: Simplify right side
    367,541x = 563,451,401,956
  5. Step 5: Solve for x
    x = 563,451,401,956/367,541
  6. Step 6: Final answer
    x = 1,533,030.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.