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Finding the Third Proportional to 360,204 and 776,271

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Solution

The third proportional to 360,204 and 776,271 is: 1,672,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,204 : 776,271 = 776,271 : x
  2. Step 2: Convert to fraction form
    360,204/776,271 = 776,271/x
  3. Step 3: Cross multiply
    360,204x = 776,271 × 776,271
  4. Step 4: Simplify right side
    360,204x = 602,596,665,441
  5. Step 5: Solve for x
    x = 602,596,665,441/360,204
  6. Step 6: Final answer
    x = 1,672,931.63

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Why These Related Problems?

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