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Finding the Third Proportional to 388,130 and 588,762

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Solution

The third proportional to 388,130 and 588,762 is: 893,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,130 : 588,762 = 588,762 : x
  2. Step 2: Convert to fraction form
    388,130/588,762 = 588,762/x
  3. Step 3: Cross multiply
    388,130x = 588,762 × 588,762
  4. Step 4: Simplify right side
    388,130x = 346,640,692,644
  5. Step 5: Solve for x
    x = 346,640,692,644/388,130
  6. Step 6: Final answer
    x = 893,104.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.