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Finding the Third Proportional to 248,952 and 382,658

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Solution

The third proportional to 248,952 and 382,658 is: 588,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,952 : 382,658 = 382,658 : x
  2. Step 2: Convert to fraction form
    248,952/382,658 = 382,658/x
  3. Step 3: Cross multiply
    248,952x = 382,658 × 382,658
  4. Step 4: Simplify right side
    248,952x = 146,427,144,964
  5. Step 5: Solve for x
    x = 146,427,144,964/248,952
  6. Step 6: Final answer
    x = 588,174.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.