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Finding the Third Proportional to 367,527 and 750,606

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Solution

The third proportional to 367,527 and 750,606 is: 1,532,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,527 : 750,606 = 750,606 : x
  2. Step 2: Convert to fraction form
    367,527/750,606 = 750,606/x
  3. Step 3: Cross multiply
    367,527x = 750,606 × 750,606
  4. Step 4: Simplify right side
    367,527x = 563,409,367,236
  5. Step 5: Solve for x
    x = 563,409,367,236/367,527
  6. Step 6: Final answer
    x = 1,532,974.09

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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.