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Finding the Third Proportional to 356,248 and 476,772

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Solution

The third proportional to 356,248 and 476,772 is: 638,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,248 : 476,772 = 476,772 : x
  2. Step 2: Convert to fraction form
    356,248/476,772 = 476,772/x
  3. Step 3: Cross multiply
    356,248x = 476,772 × 476,772
  4. Step 4: Simplify right side
    356,248x = 227,311,539,984
  5. Step 5: Solve for x
    x = 227,311,539,984/356,248
  6. Step 6: Final answer
    x = 638,071.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.