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Finding the Third Proportional to 380,373.06 and 588,666.44

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Solution

The third proportional to 380,373.06 and 588,666.44 is: 911,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,373.06 : 588,666.44 = 588,666.44 : x
  2. Step 2: Convert to fraction form
    380,373.06/588,666.44 = 588,666.44/x
  3. Step 3: Cross multiply
    380,373.06x = 588,666.44 × 588,666.44
  4. Step 4: Simplify right side
    380,373.06x = 346,528,174,638.94
  5. Step 5: Solve for x
    x = 346,528,174,638.94/380,373.06
  6. Step 6: Final answer
    x = 911,021.86

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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.