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Finding the Third Proportional to 378,355 and 564,252

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Solution

The third proportional to 378,355 and 564,252 is: 841,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,355 : 564,252 = 564,252 : x
  2. Step 2: Convert to fraction form
    378,355/564,252 = 564,252/x
  3. Step 3: Cross multiply
    378,355x = 564,252 × 564,252
  4. Step 4: Simplify right side
    378,355x = 318,380,319,504
  5. Step 5: Solve for x
    x = 318,380,319,504/378,355
  6. Step 6: Final answer
    x = 841,485.69

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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.