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Finding the Third Proportional to 246,452 and 371,430

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Solution

The third proportional to 246,452 and 371,430 is: 559,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,452 : 371,430 = 371,430 : x
  2. Step 2: Convert to fraction form
    246,452/371,430 = 371,430/x
  3. Step 3: Cross multiply
    246,452x = 371,430 × 371,430
  4. Step 4: Simplify right side
    246,452x = 137,960,244,900
  5. Step 5: Solve for x
    x = 137,960,244,900/246,452
  6. Step 6: Final answer
    x = 559,785.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.