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Finding the Third Proportional to 360,296 and 538,428

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Solution

The third proportional to 360,296 and 538,428 is: 804,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,296 : 538,428 = 538,428 : x
  2. Step 2: Convert to fraction form
    360,296/538,428 = 538,428/x
  3. Step 3: Cross multiply
    360,296x = 538,428 × 538,428
  4. Step 4: Simplify right side
    360,296x = 289,904,711,184
  5. Step 5: Solve for x
    x = 289,904,711,184/360,296
  6. Step 6: Final answer
    x = 804,629.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.