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Finding the Third Proportional to 388,725 and 599,693

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Solution

The third proportional to 388,725 and 599,693 is: 925,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,725 : 599,693 = 599,693 : x
  2. Step 2: Convert to fraction form
    388,725/599,693 = 599,693/x
  3. Step 3: Cross multiply
    388,725x = 599,693 × 599,693
  4. Step 4: Simplify right side
    388,725x = 359,631,694,249
  5. Step 5: Solve for x
    x = 359,631,694,249/388,725
  6. Step 6: Final answer
    x = 925,157.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.