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Finding the Third Proportional to 378,934.88 and 572,337

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Solution

The third proportional to 378,934.88 and 572,337 is: 864,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,934.88 : 572,337 = 572,337 : x
  2. Step 2: Convert to fraction form
    378,934.88/572,337 = 572,337/x
  3. Step 3: Cross multiply
    378,934.88x = 572,337 × 572,337
  4. Step 4: Simplify right side
    378,934.88x = 327,569,641,569
  5. Step 5: Solve for x
    x = 327,569,641,569/378,934.88
  6. Step 6: Final answer
    x = 864,448.39

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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.