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Finding the Third Proportional to 250,582 and 388,604

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Solution

The third proportional to 250,582 and 388,604 is: 602,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,582 : 388,604 = 388,604 : x
  2. Step 2: Convert to fraction form
    250,582/388,604 = 388,604/x
  3. Step 3: Cross multiply
    250,582x = 388,604 × 388,604
  4. Step 4: Simplify right side
    250,582x = 151,013,068,816
  5. Step 5: Solve for x
    x = 151,013,068,816/250,582
  6. Step 6: Final answer
    x = 602,649.31

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