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Finding the Third Proportional to 379,725 and 588,732

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Solution

The third proportional to 379,725 and 588,732 is: 912,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,725 : 588,732 = 588,732 : x
  2. Step 2: Convert to fraction form
    379,725/588,732 = 588,732/x
  3. Step 3: Cross multiply
    379,725x = 588,732 × 588,732
  4. Step 4: Simplify right side
    379,725x = 346,605,367,824
  5. Step 5: Solve for x
    x = 346,605,367,824/379,725
  6. Step 6: Final answer
    x = 912,779.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.