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Finding the Third Proportional to 246,240 and 382,032

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Solution

The third proportional to 246,240 and 382,032 is: 592,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,240 : 382,032 = 382,032 : x
  2. Step 2: Convert to fraction form
    246,240/382,032 = 382,032/x
  3. Step 3: Cross multiply
    246,240x = 382,032 × 382,032
  4. Step 4: Simplify right side
    246,240x = 145,948,449,024
  5. Step 5: Solve for x
    x = 145,948,449,024/246,240
  6. Step 6: Final answer
    x = 592,708.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.