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Finding the Third Proportional to 276,964 and 602,536

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Solution

The third proportional to 276,964 and 602,536 is: 1,310,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,964 : 602,536 = 602,536 : x
  2. Step 2: Convert to fraction form
    276,964/602,536 = 602,536/x
  3. Step 3: Cross multiply
    276,964x = 602,536 × 602,536
  4. Step 4: Simplify right side
    276,964x = 363,049,631,296
  5. Step 5: Solve for x
    x = 363,049,631,296/276,964
  6. Step 6: Final answer
    x = 1,310,818.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.