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Finding the Third Proportional to 319,248 and 476,102

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Solution

The third proportional to 319,248 and 476,102 is: 710,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,248 : 476,102 = 476,102 : x
  2. Step 2: Convert to fraction form
    319,248/476,102 = 476,102/x
  3. Step 3: Cross multiply
    319,248x = 476,102 × 476,102
  4. Step 4: Simplify right side
    319,248x = 226,673,114,404
  5. Step 5: Solve for x
    x = 226,673,114,404/319,248
  6. Step 6: Final answer
    x = 710,022.03

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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.