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Finding the Third Proportional to 246,465 and 380,565

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Solution

The third proportional to 246,465 and 380,565 is: 587,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,465 : 380,565 = 380,565 : x
  2. Step 2: Convert to fraction form
    246,465/380,565 = 380,565/x
  3. Step 3: Cross multiply
    246,465x = 380,565 × 380,565
  4. Step 4: Simplify right side
    246,465x = 144,829,719,225
  5. Step 5: Solve for x
    x = 144,829,719,225/246,465
  6. Step 6: Final answer
    x = 587,627.94

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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.